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Finding the Fourth Proportional to 712.89, 1,066.48 and 616.43

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Solution

The fourth proportional to 712.89, 1,066.48 and 616.43 is: 922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.89 : 1,066.48 = 616.43 : x
  2. Step 2: Convert to fraction form
    712.89/1,066.48 = 616.43/x
  3. Step 3: Cross multiply
    712.89x = 1,066.48 × 616.43
  4. Step 4: Simplify right side
    712.89x = 657,407.18
  5. Step 5: Solve for x
    x = 657,407.18/712.89
  6. Step 6: Final answer
    x = 922.17

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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.