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Finding the Fourth Proportional to 709.77, 1,065.87 and 639.30

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Solution

The fourth proportional to 709.77, 1,065.87 and 639.30 is: 960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.77 : 1,065.87 = 639.30 : x
  2. Step 2: Convert to fraction form
    709.77/1,065.87 = 639.30/x
  3. Step 3: Cross multiply
    709.77x = 1,065.87 × 639.30
  4. Step 4: Simplify right side
    709.77x = 681,410.69
  5. Step 5: Solve for x
    x = 681,410.69/709.77
  6. Step 6: Final answer
    x = 960.04

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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.