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Finding the Fourth Proportional to 864.40, 1,191.81 and 706.87

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Solution

The fourth proportional to 864.40, 1,191.81 and 706.87 is: 974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.40 : 1,191.81 = 706.87 : x
  2. Step 2: Convert to fraction form
    864.40/1,191.81 = 706.87/x
  3. Step 3: Cross multiply
    864.40x = 1,191.81 × 706.87
  4. Step 4: Simplify right side
    864.40x = 842,454.73
  5. Step 5: Solve for x
    x = 842,454.73/864.40
  6. Step 6: Final answer
    x = 974.61

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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.