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Finding the Fourth Proportional to 525.52, 791.41 and 457.86

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Solution

The fourth proportional to 525.52, 791.41 and 457.86 is: 689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.52 : 791.41 = 457.86 : x
  2. Step 2: Convert to fraction form
    525.52/791.41 = 457.86/x
  3. Step 3: Cross multiply
    525.52x = 791.41 × 457.86
  4. Step 4: Simplify right side
    525.52x = 362,354.98
  5. Step 5: Solve for x
    x = 362,354.98/525.52
  6. Step 6: Final answer
    x = 689.52

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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.