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Finding the Fourth Proportional to 487.31, 672.92 and 312.95

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Solution

The fourth proportional to 487.31, 672.92 and 312.95 is: 432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.31 : 672.92 = 312.95 : x
  2. Step 2: Convert to fraction form
    487.31/672.92 = 312.95/x
  3. Step 3: Cross multiply
    487.31x = 672.92 × 312.95
  4. Step 4: Simplify right side
    487.31x = 210,592.78
  5. Step 5: Solve for x
    x = 210,592.78/487.31
  6. Step 6: Final answer
    x = 432.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.