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Finding the Fourth Proportional to 925.10, 1,387.67 and 340.12

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Solution

The fourth proportional to 925.10, 1,387.67 and 340.12 is: 510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.10 : 1,387.67 = 340.12 : x
  2. Step 2: Convert to fraction form
    925.10/1,387.67 = 340.12/x
  3. Step 3: Cross multiply
    925.10x = 1,387.67 × 340.12
  4. Step 4: Simplify right side
    925.10x = 471,969.15
  5. Step 5: Solve for x
    x = 471,969.15/925.10
  6. Step 6: Final answer
    x = 510.18

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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.