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Finding the Fourth Proportional to 517.42, 709.82 and 501.81

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Solution

The fourth proportional to 517.42, 709.82 and 501.81 is: 688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.42 : 709.82 = 501.81 : x
  2. Step 2: Convert to fraction form
    517.42/709.82 = 501.81/x
  3. Step 3: Cross multiply
    517.42x = 709.82 × 501.81
  4. Step 4: Simplify right side
    517.42x = 356,192.27
  5. Step 5: Solve for x
    x = 356,192.27/517.42
  6. Step 6: Final answer
    x = 688.40

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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.