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Finding the Fourth Proportional to 552.25, 760.08 and 527.65

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Solution

The fourth proportional to 552.25, 760.08 and 527.65 is: 726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.25 : 760.08 = 527.65 : x
  2. Step 2: Convert to fraction form
    552.25/760.08 = 527.65/x
  3. Step 3: Cross multiply
    552.25x = 760.08 × 527.65
  4. Step 4: Simplify right side
    552.25x = 401,056.29
  5. Step 5: Solve for x
    x = 401,056.29/552.25
  6. Step 6: Final answer
    x = 726.22

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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.