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Finding the Fourth Proportional to 761.32, 1,141.41 and 684.06

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Solution

The fourth proportional to 761.32, 1,141.41 and 684.06 is: 1,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.32 : 1,141.41 = 684.06 : x
  2. Step 2: Convert to fraction form
    761.32/1,141.41 = 684.06/x
  3. Step 3: Cross multiply
    761.32x = 1,141.41 × 684.06
  4. Step 4: Simplify right side
    761.32x = 780,792.92
  5. Step 5: Solve for x
    x = 780,792.92/761.32
  6. Step 6: Final answer
    x = 1,025.58

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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.