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Finding the Fourth Proportional to 992.78, 1,487.02 and 471.98

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Solution

The fourth proportional to 992.78, 1,487.02 and 471.98 is: 706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.78 : 1,487.02 = 471.98 : x
  2. Step 2: Convert to fraction form
    992.78/1,487.02 = 471.98/x
  3. Step 3: Cross multiply
    992.78x = 1,487.02 × 471.98
  4. Step 4: Simplify right side
    992.78x = 701,843.70
  5. Step 5: Solve for x
    x = 701,843.70/992.78
  6. Step 6: Final answer
    x = 706.95

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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.