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Finding the Fourth Proportional to 562.90, 772.22 and 548.58

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Solution

The fourth proportional to 562.90, 772.22 and 548.58 is: 752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.90 : 772.22 = 548.58 : x
  2. Step 2: Convert to fraction form
    562.90/772.22 = 548.58/x
  3. Step 3: Cross multiply
    562.90x = 772.22 × 548.58
  4. Step 4: Simplify right side
    562.90x = 423,624.45
  5. Step 5: Solve for x
    x = 423,624.45/562.90
  6. Step 6: Final answer
    x = 752.57

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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.