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Finding the Fourth Proportional to 527.30, 722.73 and 523.70

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Solution

The fourth proportional to 527.30, 722.73 and 523.70 is: 717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.30 : 722.73 = 523.70 : x
  2. Step 2: Convert to fraction form
    527.30/722.73 = 523.70/x
  3. Step 3: Cross multiply
    527.30x = 722.73 × 523.70
  4. Step 4: Simplify right side
    527.30x = 378,491.08
  5. Step 5: Solve for x
    x = 378,491.08/527.30
  6. Step 6: Final answer
    x = 717.79

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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.