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Finding the Fourth Proportional to 762.70, 1,142.22 and 415.17

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Solution

The fourth proportional to 762.70, 1,142.22 and 415.17 is: 621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.70 : 1,142.22 = 415.17 : x
  2. Step 2: Convert to fraction form
    762.70/1,142.22 = 415.17/x
  3. Step 3: Cross multiply
    762.70x = 1,142.22 × 415.17
  4. Step 4: Simplify right side
    762.70x = 474,215.48
  5. Step 5: Solve for x
    x = 474,215.48/762.70
  6. Step 6: Final answer
    x = 621.76

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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.