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Finding the Fourth Proportional to 1,387.13, 2,081.70 and 521.44

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Solution

The fourth proportional to 1,387.13, 2,081.70 and 521.44 is: 782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.13 : 2,081.70 = 521.44 : x
  2. Step 2: Convert to fraction form
    1,387.13/2,081.70 = 521.44/x
  3. Step 3: Cross multiply
    1,387.13x = 2,081.70 × 521.44
  4. Step 4: Simplify right side
    1,387.13x = 1,085,476.44
  5. Step 5: Solve for x
    x = 1,085,476.44/1,387.13
  6. Step 6: Final answer
    x = 782.54

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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.