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Finding the Fourth Proportional to 1,387.41, 2,081.13 and 463.02

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Solution

The fourth proportional to 1,387.41, 2,081.13 and 463.02 is: 694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.41 : 2,081.13 = 463.02 : x
  2. Step 2: Convert to fraction form
    1,387.41/2,081.13 = 463.02/x
  3. Step 3: Cross multiply
    1,387.41x = 2,081.13 × 463.02
  4. Step 4: Simplify right side
    1,387.41x = 963,604.81
  5. Step 5: Solve for x
    x = 963,604.81/1,387.41
  6. Step 6: Final answer
    x = 694.54

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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.