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Finding the Fourth Proportional to 639.16, 964.50 and 616.28

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Solution

The fourth proportional to 639.16, 964.50 and 616.28 is: 929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.16 : 964.50 = 616.28 : x
  2. Step 2: Convert to fraction form
    639.16/964.50 = 616.28/x
  3. Step 3: Cross multiply
    639.16x = 964.50 × 616.28
  4. Step 4: Simplify right side
    639.16x = 594,402.06
  5. Step 5: Solve for x
    x = 594,402.06/639.16
  6. Step 6: Final answer
    x = 929.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.