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Finding the Fourth Proportional to 552.02, 824.18 and 486.41

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Solution

The fourth proportional to 552.02, 824.18 and 486.41 is: 726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.02 : 824.18 = 486.41 : x
  2. Step 2: Convert to fraction form
    552.02/824.18 = 486.41/x
  3. Step 3: Cross multiply
    552.02x = 824.18 × 486.41
  4. Step 4: Simplify right side
    552.02x = 400,882.84
  5. Step 5: Solve for x
    x = 400,882.84/552.02
  6. Step 6: Final answer
    x = 726.22

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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.