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Finding the Fourth Proportional to 1,013.31, 1,519.91 and 354.98

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Solution

The fourth proportional to 1,013.31, 1,519.91 and 354.98 is: 532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.31 : 1,519.91 = 354.98 : x
  2. Step 2: Convert to fraction form
    1,013.31/1,519.91 = 354.98/x
  3. Step 3: Cross multiply
    1,013.31x = 1,519.91 × 354.98
  4. Step 4: Simplify right side
    1,013.31x = 539,537.65
  5. Step 5: Solve for x
    x = 539,537.65/1,013.31
  6. Step 6: Final answer
    x = 532.45

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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.