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Finding the Fourth Proportional to 552.60, 824.40 and 476.28

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Solution

The fourth proportional to 552.60, 824.40 and 476.28 is: 710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.60 : 824.40 = 476.28 : x
  2. Step 2: Convert to fraction form
    552.60/824.40 = 476.28/x
  3. Step 3: Cross multiply
    552.60x = 824.40 × 476.28
  4. Step 4: Simplify right side
    552.60x = 392,645.23
  5. Step 5: Solve for x
    x = 392,645.23/552.60
  6. Step 6: Final answer
    x = 710.54

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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.