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Finding the Fourth Proportional to 557.20, 830.88 and 552.25

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Solution

The fourth proportional to 557.20, 830.88 and 552.25 is: 823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.20 : 830.88 = 552.25 : x
  2. Step 2: Convert to fraction form
    557.20/830.88 = 552.25/x
  3. Step 3: Cross multiply
    557.20x = 830.88 × 552.25
  4. Step 4: Simplify right side
    557.20x = 458,850.72
  5. Step 5: Solve for x
    x = 458,850.72/557.20
  6. Step 6: Final answer
    x = 823.49

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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.