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Finding the Fourth Proportional to 715.32, 1,077.39 and 680.76

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Solution

The fourth proportional to 715.32, 1,077.39 and 680.76 is: 1,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.32 : 1,077.39 = 680.76 : x
  2. Step 2: Convert to fraction form
    715.32/1,077.39 = 680.76/x
  3. Step 3: Cross multiply
    715.32x = 1,077.39 × 680.76
  4. Step 4: Simplify right side
    715.32x = 733,444.02
  5. Step 5: Solve for x
    x = 733,444.02/715.32
  6. Step 6: Final answer
    x = 1,025.34

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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.