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Finding the Fourth Proportional to 657.47, 986.54 and 398.09

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Solution

The fourth proportional to 657.47, 986.54 and 398.09 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.47 : 986.54 = 398.09 : x
  2. Step 2: Convert to fraction form
    657.47/986.54 = 398.09/x
  3. Step 3: Cross multiply
    657.47x = 986.54 × 398.09
  4. Step 4: Simplify right side
    657.47x = 392,724.79
  5. Step 5: Solve for x
    x = 392,724.79/657.47
  6. Step 6: Final answer
    x = 597.33

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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.