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Finding the Fourth Proportional to 925.42, 1,277.61 and 738.31

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Solution

The fourth proportional to 925.42, 1,277.61 and 738.31 is: 1,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.42 : 1,277.61 = 738.31 : x
  2. Step 2: Convert to fraction form
    925.42/1,277.61 = 738.31/x
  3. Step 3: Cross multiply
    925.42x = 1,277.61 × 738.31
  4. Step 4: Simplify right side
    925.42x = 943,272.24
  5. Step 5: Solve for x
    x = 943,272.24/925.42
  6. Step 6: Final answer
    x = 1,019.29

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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.