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Finding the Fourth Proportional to 932.89, 1,397.50 and 541.92

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Solution

The fourth proportional to 932.89, 1,397.50 and 541.92 is: 811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.89 : 1,397.50 = 541.92 : x
  2. Step 2: Convert to fraction form
    932.89/1,397.50 = 541.92/x
  3. Step 3: Cross multiply
    932.89x = 1,397.50 × 541.92
  4. Step 4: Simplify right side
    932.89x = 757,328.34
  5. Step 5: Solve for x
    x = 757,328.34/932.89
  6. Step 6: Final answer
    x = 811.81

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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.