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Finding the Fourth Proportional to 934.61, 1,401.39 and 387.19

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Solution

The fourth proportional to 934.61, 1,401.39 and 387.19 is: 580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.61 : 1,401.39 = 387.19 : x
  2. Step 2: Convert to fraction form
    934.61/1,401.39 = 387.19/x
  3. Step 3: Cross multiply
    934.61x = 1,401.39 × 387.19
  4. Step 4: Simplify right side
    934.61x = 542,597.19
  5. Step 5: Solve for x
    x = 542,597.19/934.61
  6. Step 6: Final answer
    x = 580.56

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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.