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Finding the Fourth Proportional to 1,098.26, 1,647.42 and 481.65

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Solution

The fourth proportional to 1,098.26, 1,647.42 and 481.65 is: 722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.26 : 1,647.42 = 481.65 : x
  2. Step 2: Convert to fraction form
    1,098.26/1,647.42 = 481.65/x
  3. Step 3: Cross multiply
    1,098.26x = 1,647.42 × 481.65
  4. Step 4: Simplify right side
    1,098.26x = 793,479.84
  5. Step 5: Solve for x
    x = 793,479.84/1,098.26
  6. Step 6: Final answer
    x = 722.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,099.26, 1,648.92 and 482.65
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.