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Finding the Fourth Proportional to 616.33, 920.11 and 594.70

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Solution

The fourth proportional to 616.33, 920.11 and 594.70 is: 887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.33 : 920.11 = 594.70 : x
  2. Step 2: Convert to fraction form
    616.33/920.11 = 594.70/x
  3. Step 3: Cross multiply
    616.33x = 920.11 × 594.70
  4. Step 4: Simplify right side
    616.33x = 547,191.33
  5. Step 5: Solve for x
    x = 547,191.33/616.33
  6. Step 6: Final answer
    x = 887.82

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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.