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Finding the Fourth Proportional to 688.20, 950.18 and 524.04

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Solution

The fourth proportional to 688.20, 950.18 and 524.04 is: 723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.20 : 950.18 = 524.04 : x
  2. Step 2: Convert to fraction form
    688.20/950.18 = 524.04/x
  3. Step 3: Cross multiply
    688.20x = 950.18 × 524.04
  4. Step 4: Simplify right side
    688.20x = 497,932.33
  5. Step 5: Solve for x
    x = 497,932.33/688.20
  6. Step 6: Final answer
    x = 723.53

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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.