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Finding the Fourth Proportional to 474.71, 711.86 and 292.05

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Solution

The fourth proportional to 474.71, 711.86 and 292.05 is: 437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.71 : 711.86 = 292.05 : x
  2. Step 2: Convert to fraction form
    474.71/711.86 = 292.05/x
  3. Step 3: Cross multiply
    474.71x = 711.86 × 292.05
  4. Step 4: Simplify right side
    474.71x = 207,897.25
  5. Step 5: Solve for x
    x = 207,897.25/474.71
  6. Step 6: Final answer
    x = 437.95

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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.