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Finding the Fourth Proportional to 517.59, 717.36 and 507.87

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Solution

The fourth proportional to 517.59, 717.36 and 507.87 is: 703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 717.36 = 507.87 : x
  2. Step 2: Convert to fraction form
    517.59/717.36 = 507.87/x
  3. Step 3: Cross multiply
    517.59x = 717.36 × 507.87
  4. Step 4: Simplify right side
    517.59x = 364,324.88
  5. Step 5: Solve for x
    x = 364,324.88/517.59
  6. Step 6: Final answer
    x = 703.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.