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Finding the Fourth Proportional to 992.80, 1,488.98 and 629.92

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Solution

The fourth proportional to 992.80, 1,488.98 and 629.92 is: 944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.80 : 1,488.98 = 629.92 : x
  2. Step 2: Convert to fraction form
    992.80/1,488.98 = 629.92/x
  3. Step 3: Cross multiply
    992.80x = 1,488.98 × 629.92
  4. Step 4: Simplify right side
    992.80x = 937,938.28
  5. Step 5: Solve for x
    x = 937,938.28/992.80
  6. Step 6: Final answer
    x = 944.74

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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.