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Finding the Fourth Proportional to 431.29, 648.17 and 287.92

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Solution

The fourth proportional to 431.29, 648.17 and 287.92 is: 432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.29 : 648.17 = 287.92 : x
  2. Step 2: Convert to fraction form
    431.29/648.17 = 287.92/x
  3. Step 3: Cross multiply
    431.29x = 648.17 × 287.92
  4. Step 4: Simplify right side
    431.29x = 186,621.11
  5. Step 5: Solve for x
    x = 186,621.11/431.29
  6. Step 6: Final answer
    x = 432.70

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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.