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Finding the Fourth Proportional to 992.88, 1,487.76 and 749.22

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Solution

The fourth proportional to 992.88, 1,487.76 and 749.22 is: 1,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.88 : 1,487.76 = 749.22 : x
  2. Step 2: Convert to fraction form
    992.88/1,487.76 = 749.22/x
  3. Step 3: Cross multiply
    992.88x = 1,487.76 × 749.22
  4. Step 4: Simplify right side
    992.88x = 1,114,659.55
  5. Step 5: Solve for x
    x = 1,114,659.55/992.88
  6. Step 6: Final answer
    x = 1,122.65

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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.