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Finding the Fourth Proportional to 1,342.11, 2,013.99 and 520.47

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Solution

The fourth proportional to 1,342.11, 2,013.99 and 520.47 is: 781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.11 : 2,013.99 = 520.47 : x
  2. Step 2: Convert to fraction form
    1,342.11/2,013.99 = 520.47/x
  3. Step 3: Cross multiply
    1,342.11x = 2,013.99 × 520.47
  4. Step 4: Simplify right side
    1,342.11x = 1,048,221.38
  5. Step 5: Solve for x
    x = 1,048,221.38/1,342.11
  6. Step 6: Final answer
    x = 781.02

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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.