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Finding the Fourth Proportional to 997.83, 1,496.68 and 478.20

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Solution

The fourth proportional to 997.83, 1,496.68 and 478.20 is: 717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,496.68 = 478.20 : x
  2. Step 2: Convert to fraction form
    997.83/1,496.68 = 478.20/x
  3. Step 3: Cross multiply
    997.83x = 1,496.68 × 478.20
  4. Step 4: Simplify right side
    997.83x = 715,712.38
  5. Step 5: Solve for x
    x = 715,712.38/997.83
  6. Step 6: Final answer
    x = 717.27

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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.