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Finding the Fourth Proportional to 761.24, 1,147.15 and 688.16

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Solution

The fourth proportional to 761.24, 1,147.15 and 688.16 is: 1,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.24 : 1,147.15 = 688.16 : x
  2. Step 2: Convert to fraction form
    761.24/1,147.15 = 688.16/x
  3. Step 3: Cross multiply
    761.24x = 1,147.15 × 688.16
  4. Step 4: Simplify right side
    761.24x = 789,427.92
  5. Step 5: Solve for x
    x = 789,427.92/761.24
  6. Step 6: Final answer
    x = 1,037.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.