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Finding the Fourth Proportional to 517.79, 714.29 and 360.11

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Solution

The fourth proportional to 517.79, 714.29 and 360.11 is: 496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.79 : 714.29 = 360.11 : x
  2. Step 2: Convert to fraction form
    517.79/714.29 = 360.11/x
  3. Step 3: Cross multiply
    517.79x = 714.29 × 360.11
  4. Step 4: Simplify right side
    517.79x = 257,222.96
  5. Step 5: Solve for x
    x = 257,222.96/517.79
  6. Step 6: Final answer
    x = 496.77

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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.