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Finding the Fourth Proportional to 980.32, 1,466.80 and 547.76

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Solution

The fourth proportional to 980.32, 1,466.80 and 547.76 is: 819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.32 : 1,466.80 = 547.76 : x
  2. Step 2: Convert to fraction form
    980.32/1,466.80 = 547.76/x
  3. Step 3: Cross multiply
    980.32x = 1,466.80 × 547.76
  4. Step 4: Simplify right side
    980.32x = 803,454.37
  5. Step 5: Solve for x
    x = 803,454.37/980.32
  6. Step 6: Final answer
    x = 819.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.