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Finding the Fourth Proportional to 610.91, 916.71 and 474.23

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Solution

The fourth proportional to 610.91, 916.71 and 474.23 is: 711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.91 : 916.71 = 474.23 : x
  2. Step 2: Convert to fraction form
    610.91/916.71 = 474.23/x
  3. Step 3: Cross multiply
    610.91x = 916.71 × 474.23
  4. Step 4: Simplify right side
    610.91x = 434,731.38
  5. Step 5: Solve for x
    x = 434,731.38/610.91
  6. Step 6: Final answer
    x = 711.61

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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.