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Finding the Fourth Proportional to 992.71, 1,488.53 and 950.11

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Solution

The fourth proportional to 992.71, 1,488.53 and 950.11 is: 1,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.71 : 1,488.53 = 950.11 : x
  2. Step 2: Convert to fraction form
    992.71/1,488.53 = 950.11/x
  3. Step 3: Cross multiply
    992.71x = 1,488.53 × 950.11
  4. Step 4: Simplify right side
    992.71x = 1,414,267.24
  5. Step 5: Solve for x
    x = 1,414,267.24/992.71
  6. Step 6: Final answer
    x = 1,424.65

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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.