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Finding the Fourth Proportional to 866.20, 1,195.73 and 587.24

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Solution

The fourth proportional to 866.20, 1,195.73 and 587.24 is: 810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.20 : 1,195.73 = 587.24 : x
  2. Step 2: Convert to fraction form
    866.20/1,195.73 = 587.24/x
  3. Step 3: Cross multiply
    866.20x = 1,195.73 × 587.24
  4. Step 4: Simplify right side
    866.20x = 702,185.38
  5. Step 5: Solve for x
    x = 702,185.38/866.20
  6. Step 6: Final answer
    x = 810.65

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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.