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Finding the Fourth Proportional to 1,387.87, 2,081.95 and 463.10

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Solution

The fourth proportional to 1,387.87, 2,081.95 and 463.10 is: 694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.87 : 2,081.95 = 463.10 : x
  2. Step 2: Convert to fraction form
    1,387.87/2,081.95 = 463.10/x
  3. Step 3: Cross multiply
    1,387.87x = 2,081.95 × 463.10
  4. Step 4: Simplify right side
    1,387.87x = 964,155.09
  5. Step 5: Solve for x
    x = 964,155.09/1,387.87
  6. Step 6: Final answer
    x = 694.70

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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.