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Finding the Fourth Proportional to 1,013.57, 1,520.36 and 436.44

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Solution

The fourth proportional to 1,013.57, 1,520.36 and 436.44 is: 654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.57 : 1,520.36 = 436.44 : x
  2. Step 2: Convert to fraction form
    1,013.57/1,520.36 = 436.44/x
  3. Step 3: Cross multiply
    1,013.57x = 1,520.36 × 436.44
  4. Step 4: Simplify right side
    1,013.57x = 663,543.74
  5. Step 5: Solve for x
    x = 663,543.74/1,013.57
  6. Step 6: Final answer
    x = 654.66

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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.