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Finding the Fourth Proportional to 657.26, 983.84 and 491.75

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Solution

The fourth proportional to 657.26, 983.84 and 491.75 is: 736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.26 : 983.84 = 491.75 : x
  2. Step 2: Convert to fraction form
    657.26/983.84 = 491.75/x
  3. Step 3: Cross multiply
    657.26x = 983.84 × 491.75
  4. Step 4: Simplify right side
    657.26x = 483,800.86
  5. Step 5: Solve for x
    x = 483,800.86/657.26
  6. Step 6: Final answer
    x = 736.09

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Double scale
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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.