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Finding the Fourth Proportional to 861.87, 1,189.15 and 582.24

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Solution

The fourth proportional to 861.87, 1,189.15 and 582.24 is: 803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.87 : 1,189.15 = 582.24 : x
  2. Step 2: Convert to fraction form
    861.87/1,189.15 = 582.24/x
  3. Step 3: Cross multiply
    861.87x = 1,189.15 × 582.24
  4. Step 4: Simplify right side
    861.87x = 692,370.70
  5. Step 5: Solve for x
    x = 692,370.70/861.87
  6. Step 6: Final answer
    x = 803.34

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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.