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Finding the Fourth Proportional to 657.98, 982.98 and 424.97

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Solution

The fourth proportional to 657.98, 982.98 and 424.97 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.98 : 982.98 = 424.97 : x
  2. Step 2: Convert to fraction form
    657.98/982.98 = 424.97/x
  3. Step 3: Cross multiply
    657.98x = 982.98 × 424.97
  4. Step 4: Simplify right side
    657.98x = 417,737.01
  5. Step 5: Solve for x
    x = 417,737.01/657.98
  6. Step 6: Final answer
    x = 634.88

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.