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Finding the Fourth Proportional to 869.85, 1,200.86 and 591.57

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Solution

The fourth proportional to 869.85, 1,200.86 and 591.57 is: 816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.85 : 1,200.86 = 591.57 : x
  2. Step 2: Convert to fraction form
    869.85/1,200.86 = 591.57/x
  3. Step 3: Cross multiply
    869.85x = 1,200.86 × 591.57
  4. Step 4: Simplify right side
    869.85x = 710,389.79
  5. Step 5: Solve for x
    x = 710,389.79/869.85
  6. Step 6: Final answer
    x = 816.68

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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.