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Finding the Fourth Proportional to 997.83, 1,495.47 and 412.17

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Solution

The fourth proportional to 997.83, 1,495.47 and 412.17 is: 617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,495.47 = 412.17 : x
  2. Step 2: Convert to fraction form
    997.83/1,495.47 = 412.17/x
  3. Step 3: Cross multiply
    997.83x = 1,495.47 × 412.17
  4. Step 4: Simplify right side
    997.83x = 616,387.87
  5. Step 5: Solve for x
    x = 616,387.87/997.83
  6. Step 6: Final answer
    x = 617.73

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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.