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Finding the Fourth Proportional to 861.58, 1,188.19 and 562.55

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Solution

The fourth proportional to 861.58, 1,188.19 and 562.55 is: 775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.58 : 1,188.19 = 562.55 : x
  2. Step 2: Convert to fraction form
    861.58/1,188.19 = 562.55/x
  3. Step 3: Cross multiply
    861.58x = 1,188.19 × 562.55
  4. Step 4: Simplify right side
    861.58x = 668,417.85
  5. Step 5: Solve for x
    x = 668,417.85/861.58
  6. Step 6: Final answer
    x = 775.81

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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.