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Finding the Fourth Proportional to 997.49, 1,497.15 and 765.63

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Solution

The fourth proportional to 997.49, 1,497.15 and 765.63 is: 1,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.49 : 1,497.15 = 765.63 : x
  2. Step 2: Convert to fraction form
    997.49/1,497.15 = 765.63/x
  3. Step 3: Cross multiply
    997.49x = 1,497.15 × 765.63
  4. Step 4: Simplify right side
    997.49x = 1,146,262.95
  5. Step 5: Solve for x
    x = 1,146,262.95/997.49
  6. Step 6: Final answer
    x = 1,149.15

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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.