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Finding the Fourth Proportional to 1,013.59, 1,520.61 and 397.13

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Solution

The fourth proportional to 1,013.59, 1,520.61 and 397.13 is: 595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.59 : 1,520.61 = 397.13 : x
  2. Step 2: Convert to fraction form
    1,013.59/1,520.61 = 397.13/x
  3. Step 3: Cross multiply
    1,013.59x = 1,520.61 × 397.13
  4. Step 4: Simplify right side
    1,013.59x = 603,870.76
  5. Step 5: Solve for x
    x = 603,870.76/1,013.59
  6. Step 6: Final answer
    x = 595.77

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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.