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Finding the Fourth Proportional to 1,013.12, 1,519.49 and 427.93

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Solution

The fourth proportional to 1,013.12, 1,519.49 and 427.93 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.12 : 1,519.49 = 427.93 : x
  2. Step 2: Convert to fraction form
    1,013.12/1,519.49 = 427.93/x
  3. Step 3: Cross multiply
    1,013.12x = 1,519.49 × 427.93
  4. Step 4: Simplify right side
    1,013.12x = 650,229.42
  5. Step 5: Solve for x
    x = 650,229.42/1,013.12
  6. Step 6: Final answer
    x = 641.81

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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.