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Finding the Fourth Proportional to 869.55, 1,200.16 and 554.74

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Solution

The fourth proportional to 869.55, 1,200.16 and 554.74 is: 765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.55 : 1,200.16 = 554.74 : x
  2. Step 2: Convert to fraction form
    869.55/1,200.16 = 554.74/x
  3. Step 3: Cross multiply
    869.55x = 1,200.16 × 554.74
  4. Step 4: Simplify right side
    869.55x = 665,770.76
  5. Step 5: Solve for x
    x = 665,770.76/869.55
  6. Step 6: Final answer
    x = 765.65

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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.