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Finding the Fourth Proportional to 709.11, 1,058.58 and 616.83

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Solution

The fourth proportional to 709.11, 1,058.58 and 616.83 is: 920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.11 : 1,058.58 = 616.83 : x
  2. Step 2: Convert to fraction form
    709.11/1,058.58 = 616.83/x
  3. Step 3: Cross multiply
    709.11x = 1,058.58 × 616.83
  4. Step 4: Simplify right side
    709.11x = 652,963.90
  5. Step 5: Solve for x
    x = 652,963.90/709.11
  6. Step 6: Final answer
    x = 920.82

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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.