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Finding the Fourth Proportional to 657.40, 987.32 and 441.13

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Solution

The fourth proportional to 657.40, 987.32 and 441.13 is: 662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.40 : 987.32 = 441.13 : x
  2. Step 2: Convert to fraction form
    657.40/987.32 = 441.13/x
  3. Step 3: Cross multiply
    657.40x = 987.32 × 441.13
  4. Step 4: Simplify right side
    657.40x = 435,536.47
  5. Step 5: Solve for x
    x = 435,536.47/657.40
  6. Step 6: Final answer
    x = 662.51

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Half scale
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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.