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Finding the Fourth Proportional to 576.80, 868.32 and 525.77

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Solution

The fourth proportional to 576.80, 868.32 and 525.77 is: 791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 868.32 = 525.77 : x
  2. Step 2: Convert to fraction form
    576.80/868.32 = 525.77/x
  3. Step 3: Cross multiply
    576.80x = 868.32 × 525.77
  4. Step 4: Simplify right side
    576.80x = 456,532.26
  5. Step 5: Solve for x
    x = 456,532.26/576.80
  6. Step 6: Final answer
    x = 791.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.