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Finding the Fourth Proportional to 932.57, 1,398.51 and 274.25

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Solution

The fourth proportional to 932.57, 1,398.51 and 274.25 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.57 : 1,398.51 = 274.25 : x
  2. Step 2: Convert to fraction form
    932.57/1,398.51 = 274.25/x
  3. Step 3: Cross multiply
    932.57x = 1,398.51 × 274.25
  4. Step 4: Simplify right side
    932.57x = 383,534.37
  5. Step 5: Solve for x
    x = 383,534.37/932.57
  6. Step 6: Final answer
    x = 411.27

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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.