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Finding the Fourth Proportional to 925.90, 1,387.92 and 340.40

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Solution

The fourth proportional to 925.90, 1,387.92 and 340.40 is: 510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.90 : 1,387.92 = 340.40 : x
  2. Step 2: Convert to fraction form
    925.90/1,387.92 = 340.40/x
  3. Step 3: Cross multiply
    925.90x = 1,387.92 × 340.40
  4. Step 4: Simplify right side
    925.90x = 472,447.97
  5. Step 5: Solve for x
    x = 472,447.97/925.90
  6. Step 6: Final answer
    x = 510.26

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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.