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Finding the Fourth Proportional to 657.39, 986.61 and 616.34

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Solution

The fourth proportional to 657.39, 986.61 and 616.34 is: 924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.39 : 986.61 = 616.34 : x
  2. Step 2: Convert to fraction form
    657.39/986.61 = 616.34/x
  3. Step 3: Cross multiply
    657.39x = 986.61 × 616.34
  4. Step 4: Simplify right side
    657.39x = 608,082.27
  5. Step 5: Solve for x
    x = 608,082.27/657.39
  6. Step 6: Final answer
    x = 924.99

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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.