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Finding the Fourth Proportional to 517.42, 772.88 and 342.64

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Solution

The fourth proportional to 517.42, 772.88 and 342.64 is: 511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.42 : 772.88 = 342.64 : x
  2. Step 2: Convert to fraction form
    517.42/772.88 = 342.64/x
  3. Step 3: Cross multiply
    517.42x = 772.88 × 342.64
  4. Step 4: Simplify right side
    517.42x = 264,819.60
  5. Step 5: Solve for x
    x = 264,819.60/517.42
  6. Step 6: Final answer
    x = 511.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.