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Finding the Fourth Proportional to 643.24, 886.90 and 524.78

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Solution

The fourth proportional to 643.24, 886.90 and 524.78 is: 723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 886.90 = 524.78 : x
  2. Step 2: Convert to fraction form
    643.24/886.90 = 524.78/x
  3. Step 3: Cross multiply
    643.24x = 886.90 × 524.78
  4. Step 4: Simplify right side
    643.24x = 465,425.95
  5. Step 5: Solve for x
    x = 465,425.95/643.24
  6. Step 6: Final answer
    x = 723.56

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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.