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Finding the Fourth Proportional to 867.08, 1,190.20 and 766.64

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Solution

The fourth proportional to 867.08, 1,190.20 and 766.64 is: 1,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.08 : 1,190.20 = 766.64 : x
  2. Step 2: Convert to fraction form
    867.08/1,190.20 = 766.64/x
  3. Step 3: Cross multiply
    867.08x = 1,190.20 × 766.64
  4. Step 4: Simplify right side
    867.08x = 912,454.93
  5. Step 5: Solve for x
    x = 912,454.93/867.08
  6. Step 6: Final answer
    x = 1,052.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.