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Finding the Fourth Proportional to 610.18, 913.84 and 472.78

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Solution

The fourth proportional to 610.18, 913.84 and 472.78 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.18 : 913.84 = 472.78 : x
  2. Step 2: Convert to fraction form
    610.18/913.84 = 472.78/x
  3. Step 3: Cross multiply
    610.18x = 913.84 × 472.78
  4. Step 4: Simplify right side
    610.18x = 432,045.28
  5. Step 5: Solve for x
    x = 432,045.28/610.18
  6. Step 6: Final answer
    x = 708.06

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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.