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Finding the Fourth Proportional to 992.29, 1,488.13 and 342.88

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Solution

The fourth proportional to 992.29, 1,488.13 and 342.88 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.29 : 1,488.13 = 342.88 : x
  2. Step 2: Convert to fraction form
    992.29/1,488.13 = 342.88/x
  3. Step 3: Cross multiply
    992.29x = 1,488.13 × 342.88
  4. Step 4: Simplify right side
    992.29x = 510,250.01
  5. Step 5: Solve for x
    x = 510,250.01/992.29
  6. Step 6: Final answer
    x = 514.21

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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.