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Finding the Fourth Proportional to 932.32, 1,398.46 and 419.32

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Solution

The fourth proportional to 932.32, 1,398.46 and 419.32 is: 628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.32 : 1,398.46 = 419.32 : x
  2. Step 2: Convert to fraction form
    932.32/1,398.46 = 419.32/x
  3. Step 3: Cross multiply
    932.32x = 1,398.46 × 419.32
  4. Step 4: Simplify right side
    932.32x = 586,402.25
  5. Step 5: Solve for x
    x = 586,402.25/932.32
  6. Step 6: Final answer
    x = 628.97

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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.