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Finding the Fourth Proportional to 997.05, 1,488.29 and 924.78

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Solution

The fourth proportional to 997.05, 1,488.29 and 924.78 is: 1,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.05 : 1,488.29 = 924.78 : x
  2. Step 2: Convert to fraction form
    997.05/1,488.29 = 924.78/x
  3. Step 3: Cross multiply
    997.05x = 1,488.29 × 924.78
  4. Step 4: Simplify right side
    997.05x = 1,376,336.20
  5. Step 5: Solve for x
    x = 1,376,336.20/997.05
  6. Step 6: Final answer
    x = 1,380.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.