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Finding the Fourth Proportional to 805.17, 1,206.87 and 410.15

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Solution

The fourth proportional to 805.17, 1,206.87 and 410.15 is: 614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.17 : 1,206.87 = 410.15 : x
  2. Step 2: Convert to fraction form
    805.17/1,206.87 = 410.15/x
  3. Step 3: Cross multiply
    805.17x = 1,206.87 × 410.15
  4. Step 4: Simplify right side
    805.17x = 494,991.70
  5. Step 5: Solve for x
    x = 494,991.70/805.17
  6. Step 6: Final answer
    x = 614.77

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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.