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Finding the Fourth Proportional to 997.83, 1,497.52 and 691.83

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Solution

The fourth proportional to 997.83, 1,497.52 and 691.83 is: 1,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,497.52 = 691.83 : x
  2. Step 2: Convert to fraction form
    997.83/1,497.52 = 691.83/x
  3. Step 3: Cross multiply
    997.83x = 1,497.52 × 691.83
  4. Step 4: Simplify right side
    997.83x = 1,036,027.53
  5. Step 5: Solve for x
    x = 1,036,027.53/997.83
  6. Step 6: Final answer
    x = 1,038.28

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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.