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Finding the Fourth Proportional to 1,387.78, 2,082.21 and 463.47

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Solution

The fourth proportional to 1,387.78, 2,082.21 and 463.47 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.78 : 2,082.21 = 463.47 : x
  2. Step 2: Convert to fraction form
    1,387.78/2,082.21 = 463.47/x
  3. Step 3: Cross multiply
    1,387.78x = 2,082.21 × 463.47
  4. Step 4: Simplify right side
    1,387.78x = 965,044.03
  5. Step 5: Solve for x
    x = 965,044.03/1,387.78
  6. Step 6: Final answer
    x = 695.39

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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.