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Finding the Fourth Proportional to 522.56, 717.28 and 493.76

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Solution

The fourth proportional to 522.56, 717.28 and 493.76 is: 677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 717.28 = 493.76 : x
  2. Step 2: Convert to fraction form
    522.56/717.28 = 493.76/x
  3. Step 3: Cross multiply
    522.56x = 717.28 × 493.76
  4. Step 4: Simplify right side
    522.56x = 354,164.17
  5. Step 5: Solve for x
    x = 354,164.17/522.56
  6. Step 6: Final answer
    x = 677.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.