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Finding the Fourth Proportional to 517.78, 714.18 and 495.64

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Solution

The fourth proportional to 517.78, 714.18 and 495.64 is: 683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 714.18 = 495.64 : x
  2. Step 2: Convert to fraction form
    517.78/714.18 = 495.64/x
  3. Step 3: Cross multiply
    517.78x = 714.18 × 495.64
  4. Step 4: Simplify right side
    517.78x = 353,976.18
  5. Step 5: Solve for x
    x = 353,976.18/517.78
  6. Step 6: Final answer
    x = 683.64

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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.