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Finding the Fourth Proportional to 552.30, 823.58 and 506.13

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Solution

The fourth proportional to 552.30, 823.58 and 506.13 is: 754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.30 : 823.58 = 506.13 : x
  2. Step 2: Convert to fraction form
    552.30/823.58 = 506.13/x
  3. Step 3: Cross multiply
    552.30x = 823.58 × 506.13
  4. Step 4: Simplify right side
    552.30x = 416,836.01
  5. Step 5: Solve for x
    x = 416,836.01/552.30
  6. Step 6: Final answer
    x = 754.73

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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.