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Finding the Fourth Proportional to 997.76, 1,496.25 and 587

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Solution

The fourth proportional to 997.76, 1,496.25 and 587 is: 880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.76 : 1,496.25 = 587 : x
  2. Step 2: Convert to fraction form
    997.76/1,496.25 = 587/x
  3. Step 3: Cross multiply
    997.76x = 1,496.25 × 587
  4. Step 4: Simplify right side
    997.76x = 878,298.75
  5. Step 5: Solve for x
    x = 878,298.75/997.76
  6. Step 6: Final answer
    x = 880.27

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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.