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Finding the Fourth Proportional to 934.74, 1,402.11 and 386.91

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Solution

The fourth proportional to 934.74, 1,402.11 and 386.91 is: 580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.74 : 1,402.11 = 386.91 : x
  2. Step 2: Convert to fraction form
    934.74/1,402.11 = 386.91/x
  3. Step 3: Cross multiply
    934.74x = 1,402.11 × 386.91
  4. Step 4: Simplify right side
    934.74x = 542,490.38
  5. Step 5: Solve for x
    x = 542,490.38/934.74
  6. Step 6: Final answer
    x = 580.37

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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.