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Finding the Fourth Proportional to 517.24, 709.58 and 508.60

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Solution

The fourth proportional to 517.24, 709.58 and 508.60 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 709.58 = 508.60 : x
  2. Step 2: Convert to fraction form
    517.24/709.58 = 508.60/x
  3. Step 3: Cross multiply
    517.24x = 709.58 × 508.60
  4. Step 4: Simplify right side
    517.24x = 360,892.39
  5. Step 5: Solve for x
    x = 360,892.39/517.24
  6. Step 6: Final answer
    x = 697.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.