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Finding the Fourth Proportional to 517.10, 712.10 and 484.16

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Solution

The fourth proportional to 517.10, 712.10 and 484.16 is: 666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.10 : 712.10 = 484.16 : x
  2. Step 2: Convert to fraction form
    517.10/712.10 = 484.16/x
  3. Step 3: Cross multiply
    517.10x = 712.10 × 484.16
  4. Step 4: Simplify right side
    517.10x = 344,770.34
  5. Step 5: Solve for x
    x = 344,770.34/517.10
  6. Step 6: Final answer
    x = 666.74

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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.