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Finding the Fourth Proportional to 992.31, 1,488.99 and 720.65

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Solution

The fourth proportional to 992.31, 1,488.99 and 720.65 is: 1,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.31 : 1,488.99 = 720.65 : x
  2. Step 2: Convert to fraction form
    992.31/1,488.99 = 720.65/x
  3. Step 3: Cross multiply
    992.31x = 1,488.99 × 720.65
  4. Step 4: Simplify right side
    992.31x = 1,073,033.20
  5. Step 5: Solve for x
    x = 1,073,033.20/992.31
  6. Step 6: Final answer
    x = 1,081.35

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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.