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Finding the Fourth Proportional to 997.34, 1,488.70 and 925.06

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Solution

The fourth proportional to 997.34, 1,488.70 and 925.06 is: 1,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.34 : 1,488.70 = 925.06 : x
  2. Step 2: Convert to fraction form
    997.34/1,488.70 = 925.06/x
  3. Step 3: Cross multiply
    997.34x = 1,488.70 × 925.06
  4. Step 4: Simplify right side
    997.34x = 1,377,136.82
  5. Step 5: Solve for x
    x = 1,377,136.82/997.34
  6. Step 6: Final answer
    x = 1,380.81

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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.