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Finding the Fourth Proportional to 512.74, 769.08 and 147.53

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Solution

The fourth proportional to 512.74, 769.08 and 147.53 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.74 : 769.08 = 147.53 : x
  2. Step 2: Convert to fraction form
    512.74/769.08 = 147.53/x
  3. Step 3: Cross multiply
    512.74x = 769.08 × 147.53
  4. Step 4: Simplify right side
    512.74x = 113,457.79
  5. Step 5: Solve for x
    x = 113,457.79/512.74
  6. Step 6: Final answer
    x = 221.28

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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.