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Finding the Fourth Proportional to 757.64, 1,135.48 and 574.48

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Solution

The fourth proportional to 757.64, 1,135.48 and 574.48 is: 860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.64 : 1,135.48 = 574.48 : x
  2. Step 2: Convert to fraction form
    757.64/1,135.48 = 574.48/x
  3. Step 3: Cross multiply
    757.64x = 1,135.48 × 574.48
  4. Step 4: Simplify right side
    757.64x = 652,310.55
  5. Step 5: Solve for x
    x = 652,310.55/757.64
  6. Step 6: Final answer
    x = 860.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.