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Finding the Fourth Proportional to 552.42, 823.80 and 515.52

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Solution

The fourth proportional to 552.42, 823.80 and 515.52 is: 768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 823.80 = 515.52 : x
  2. Step 2: Convert to fraction form
    552.42/823.80 = 515.52/x
  3. Step 3: Cross multiply
    552.42x = 823.80 × 515.52
  4. Step 4: Simplify right side
    552.42x = 424,685.38
  5. Step 5: Solve for x
    x = 424,685.38/552.42
  6. Step 6: Final answer
    x = 768.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.