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Finding the Fourth Proportional to 517.68, 712.08 and 504.72

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Solution

The fourth proportional to 517.68, 712.08 and 504.72 is: 694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 712.08 = 504.72 : x
  2. Step 2: Convert to fraction form
    517.68/712.08 = 504.72/x
  3. Step 3: Cross multiply
    517.68x = 712.08 × 504.72
  4. Step 4: Simplify right side
    517.68x = 359,401.02
  5. Step 5: Solve for x
    x = 359,401.02/517.68
  6. Step 6: Final answer
    x = 694.25

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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.