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Finding the Fourth Proportional to 517.10, 714.74 and 392.96

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Solution

The fourth proportional to 517.10, 714.74 and 392.96 is: 543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.10 : 714.74 = 392.96 : x
  2. Step 2: Convert to fraction form
    517.10/714.74 = 392.96/x
  3. Step 3: Cross multiply
    517.10x = 714.74 × 392.96
  4. Step 4: Simplify right side
    517.10x = 280,858.69
  5. Step 5: Solve for x
    x = 280,858.69/517.10
  6. Step 6: Final answer
    x = 543.15

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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.