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Finding the Fourth Proportional to 1,013.97, 1,520.44 and 520.30

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Solution

The fourth proportional to 1,013.97, 1,520.44 and 520.30 is: 780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.97 : 1,520.44 = 520.30 : x
  2. Step 2: Convert to fraction form
    1,013.97/1,520.44 = 520.30/x
  3. Step 3: Cross multiply
    1,013.97x = 1,520.44 × 520.30
  4. Step 4: Simplify right side
    1,013.97x = 791,084.93
  5. Step 5: Solve for x
    x = 791,084.93/1,013.97
  6. Step 6: Final answer
    x = 780.19

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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.