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Finding the Fourth Proportional to 867.31, 1,195.97 and 708.76

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Solution

The fourth proportional to 867.31, 1,195.97 and 708.76 is: 977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.31 : 1,195.97 = 708.76 : x
  2. Step 2: Convert to fraction form
    867.31/1,195.97 = 708.76/x
  3. Step 3: Cross multiply
    867.31x = 1,195.97 × 708.76
  4. Step 4: Simplify right side
    867.31x = 847,655.70
  5. Step 5: Solve for x
    x = 847,655.70/867.31
  6. Step 6: Final answer
    x = 977.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.