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Finding the Fourth Proportional to 1,029.44, 1,544.16 and 345.44

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Solution

The fourth proportional to 1,029.44, 1,544.16 and 345.44 is: 518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.44 : 1,544.16 = 345.44 : x
  2. Step 2: Convert to fraction form
    1,029.44/1,544.16 = 345.44/x
  3. Step 3: Cross multiply
    1,029.44x = 1,544.16 × 345.44
  4. Step 4: Simplify right side
    1,029.44x = 533,414.63
  5. Step 5: Solve for x
    x = 533,414.63/1,029.44
  6. Step 6: Final answer
    x = 518.16

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Half scale
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Double scale
Find fourth proportional to 1,030.44, 1,545.66 and 346.44
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.