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Finding the Fourth Proportional to 932.62, 1,398.74 and 283.22

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Solution

The fourth proportional to 932.62, 1,398.74 and 283.22 is: 424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.62 : 1,398.74 = 283.22 : x
  2. Step 2: Convert to fraction form
    932.62/1,398.74 = 283.22/x
  3. Step 3: Cross multiply
    932.62x = 1,398.74 × 283.22
  4. Step 4: Simplify right side
    932.62x = 396,151.14
  5. Step 5: Solve for x
    x = 396,151.14/932.62
  6. Step 6: Final answer
    x = 424.77

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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.