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Finding the Fourth Proportional to 761.53, 1,141.61 and 274.24

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Solution

The fourth proportional to 761.53, 1,141.61 and 274.24 is: 411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.53 : 1,141.61 = 274.24 : x
  2. Step 2: Convert to fraction form
    761.53/1,141.61 = 274.24/x
  3. Step 3: Cross multiply
    761.53x = 1,141.61 × 274.24
  4. Step 4: Simplify right side
    761.53x = 313,068.05
  5. Step 5: Solve for x
    x = 313,068.05/761.53
  6. Step 6: Final answer
    x = 411.11

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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.