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Finding the Fourth Proportional to 548.24, 820.76 and 515.76

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Solution

The fourth proportional to 548.24, 820.76 and 515.76 is: 772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 820.76 = 515.76 : x
  2. Step 2: Convert to fraction form
    548.24/820.76 = 515.76/x
  3. Step 3: Cross multiply
    548.24x = 820.76 × 515.76
  4. Step 4: Simplify right side
    548.24x = 423,315.18
  5. Step 5: Solve for x
    x = 423,315.18/548.24
  6. Step 6: Final answer
    x = 772.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.