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Finding the Fourth Proportional to 861.53, 1,188.42 and 529.70

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Solution

The fourth proportional to 861.53, 1,188.42 and 529.70 is: 730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.53 : 1,188.42 = 529.70 : x
  2. Step 2: Convert to fraction form
    861.53/1,188.42 = 529.70/x
  3. Step 3: Cross multiply
    861.53x = 1,188.42 × 529.70
  4. Step 4: Simplify right side
    861.53x = 629,506.07
  5. Step 5: Solve for x
    x = 629,506.07/861.53
  6. Step 6: Final answer
    x = 730.68

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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.