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Finding the Fourth Proportional to 761.15, 1,141.04 and 274.10

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Solution

The fourth proportional to 761.15, 1,141.04 and 274.10 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.15 : 1,141.04 = 274.10 : x
  2. Step 2: Convert to fraction form
    761.15/1,141.04 = 274.10/x
  3. Step 3: Cross multiply
    761.15x = 1,141.04 × 274.10
  4. Step 4: Simplify right side
    761.15x = 312,754.04
  5. Step 5: Solve for x
    x = 312,754.04/761.15
  6. Step 6: Final answer
    x = 410.90

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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.