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Finding the Fourth Proportional to 992.68, 1,489.02 and 472.57

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Solution

The fourth proportional to 992.68, 1,489.02 and 472.57 is: 708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.68 : 1,489.02 = 472.57 : x
  2. Step 2: Convert to fraction form
    992.68/1,489.02 = 472.57/x
  3. Step 3: Cross multiply
    992.68x = 1,489.02 × 472.57
  4. Step 4: Simplify right side
    992.68x = 703,666.18
  5. Step 5: Solve for x
    x = 703,666.18/992.68
  6. Step 6: Final answer
    x = 708.86

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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.