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Finding the Fourth Proportional to 861.40, 1,188.45 and 750.69

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Solution

The fourth proportional to 861.40, 1,188.45 and 750.69 is: 1,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.40 : 1,188.45 = 750.69 : x
  2. Step 2: Convert to fraction form
    861.40/1,188.45 = 750.69/x
  3. Step 3: Cross multiply
    861.40x = 1,188.45 × 750.69
  4. Step 4: Simplify right side
    861.40x = 892,157.53
  5. Step 5: Solve for x
    x = 892,157.53/861.40
  6. Step 6: Final answer
    x = 1,035.71

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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.