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Finding the Fourth Proportional to 932.75, 1,398.50 and 521.93

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Solution

The fourth proportional to 932.75, 1,398.50 and 521.93 is: 782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.75 : 1,398.50 = 521.93 : x
  2. Step 2: Convert to fraction form
    932.75/1,398.50 = 521.93/x
  3. Step 3: Cross multiply
    932.75x = 1,398.50 × 521.93
  4. Step 4: Simplify right side
    932.75x = 729,912.11
  5. Step 5: Solve for x
    x = 729,912.11/932.75
  6. Step 6: Final answer
    x = 782.54

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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.