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Finding the Fourth Proportional to 578.20, 870.28 and 546.88

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Solution

The fourth proportional to 578.20, 870.28 and 546.88 is: 823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 870.28 = 546.88 : x
  2. Step 2: Convert to fraction form
    578.20/870.28 = 546.88/x
  3. Step 3: Cross multiply
    578.20x = 870.28 × 546.88
  4. Step 4: Simplify right side
    578.20x = 475,938.73
  5. Step 5: Solve for x
    x = 475,938.73/578.20
  6. Step 6: Final answer
    x = 823.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.