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Finding the Fourth Proportional to 761.32, 1,141.28 and 274.25

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Solution

The fourth proportional to 761.32, 1,141.28 and 274.25 is: 411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.32 : 1,141.28 = 274.25 : x
  2. Step 2: Convert to fraction form
    761.32/1,141.28 = 274.25/x
  3. Step 3: Cross multiply
    761.32x = 1,141.28 × 274.25
  4. Step 4: Simplify right side
    761.32x = 312,996.04
  5. Step 5: Solve for x
    x = 312,996.04/761.32
  6. Step 6: Final answer
    x = 411.12

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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.