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Finding the Fourth Proportional to 635.28, 874.52 and 524.56

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Solution

The fourth proportional to 635.28, 874.52 and 524.56 is: 722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.28 : 874.52 = 524.56 : x
  2. Step 2: Convert to fraction form
    635.28/874.52 = 524.56/x
  3. Step 3: Cross multiply
    635.28x = 874.52 × 524.56
  4. Step 4: Simplify right side
    635.28x = 458,738.21
  5. Step 5: Solve for x
    x = 458,738.21/635.28
  6. Step 6: Final answer
    x = 722.10

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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.