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Finding the Fourth Proportional to 761.75, 1,140.17 and 396.03

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Solution

The fourth proportional to 761.75, 1,140.17 and 396.03 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 1,140.17 = 396.03 : x
  2. Step 2: Convert to fraction form
    761.75/1,140.17 = 396.03/x
  3. Step 3: Cross multiply
    761.75x = 1,140.17 × 396.03
  4. Step 4: Simplify right side
    761.75x = 451,539.54
  5. Step 5: Solve for x
    x = 451,539.54/761.75
  6. Step 6: Final answer
    x = 592.77

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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.