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Finding the Fourth Proportional to 576.37, 791.12 and 527.16

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Solution

The fourth proportional to 576.37, 791.12 and 527.16 is: 723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.37 : 791.12 = 527.16 : x
  2. Step 2: Convert to fraction form
    576.37/791.12 = 527.16/x
  3. Step 3: Cross multiply
    576.37x = 791.12 × 527.16
  4. Step 4: Simplify right side
    576.37x = 417,046.82
  5. Step 5: Solve for x
    x = 417,046.82/576.37
  6. Step 6: Final answer
    x = 723.57

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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.