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Finding the Fourth Proportional to 667.65, 920.27 and 527.52

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Solution

The fourth proportional to 667.65, 920.27 and 527.52 is: 727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.65 : 920.27 = 527.52 : x
  2. Step 2: Convert to fraction form
    667.65/920.27 = 527.52/x
  3. Step 3: Cross multiply
    667.65x = 920.27 × 527.52
  4. Step 4: Simplify right side
    667.65x = 485,458.70
  5. Step 5: Solve for x
    x = 485,458.70/667.65
  6. Step 6: Final answer
    x = 727.12

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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.