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Finding the Fourth Proportional to 474.66, 710.39 and 292.18

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Solution

The fourth proportional to 474.66, 710.39 and 292.18 is: 437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.66 : 710.39 = 292.18 : x
  2. Step 2: Convert to fraction form
    474.66/710.39 = 292.18/x
  3. Step 3: Cross multiply
    474.66x = 710.39 × 292.18
  4. Step 4: Simplify right side
    474.66x = 207,560.29
  5. Step 5: Solve for x
    x = 207,560.29/474.66
  6. Step 6: Final answer
    x = 437.29

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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.