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Finding the Fourth Proportional to 657.92, 982.16 and 571.52

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Solution

The fourth proportional to 657.92, 982.16 and 571.52 is: 853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.92 : 982.16 = 571.52 : x
  2. Step 2: Convert to fraction form
    657.92/982.16 = 571.52/x
  3. Step 3: Cross multiply
    657.92x = 982.16 × 571.52
  4. Step 4: Simplify right side
    657.92x = 561,324.08
  5. Step 5: Solve for x
    x = 561,324.08/657.92
  6. Step 6: Final answer
    x = 853.18

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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.