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Finding the Fourth Proportional to 632.72, 953.76 and 525.20

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Solution

The fourth proportional to 632.72, 953.76 and 525.20 is: 791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 953.76 = 525.20 : x
  2. Step 2: Convert to fraction form
    632.72/953.76 = 525.20/x
  3. Step 3: Cross multiply
    632.72x = 953.76 × 525.20
  4. Step 4: Simplify right side
    632.72x = 500,909.98
  5. Step 5: Solve for x
    x = 500,909.98/632.72
  6. Step 6: Final answer
    x = 791.68

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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.