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Finding the Fourth Proportional to 925.40, 1,277.10 and 532.46

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Solution

The fourth proportional to 925.40, 1,277.10 and 532.46 is: 734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.40 : 1,277.10 = 532.46 : x
  2. Step 2: Convert to fraction form
    925.40/1,277.10 = 532.46/x
  3. Step 3: Cross multiply
    925.40x = 1,277.10 × 532.46
  4. Step 4: Simplify right side
    925.40x = 680,004.67
  5. Step 5: Solve for x
    x = 680,004.67/925.40
  6. Step 6: Final answer
    x = 734.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.