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Finding the Fourth Proportional to 925.42, 1,386.51 and 902.74

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Solution

The fourth proportional to 925.42, 1,386.51 and 902.74 is: 1,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.42 : 1,386.51 = 902.74 : x
  2. Step 2: Convert to fraction form
    925.42/1,386.51 = 902.74/x
  3. Step 3: Cross multiply
    925.42x = 1,386.51 × 902.74
  4. Step 4: Simplify right side
    925.42x = 1,251,658.04
  5. Step 5: Solve for x
    x = 1,251,658.04/925.42
  6. Step 6: Final answer
    x = 1,352.53

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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.