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Finding the Fourth Proportional to 689.44, 1,034.64 and 278.48

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Solution

The fourth proportional to 689.44, 1,034.64 and 278.48 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.44 : 1,034.64 = 278.48 : x
  2. Step 2: Convert to fraction form
    689.44/1,034.64 = 278.48/x
  3. Step 3: Cross multiply
    689.44x = 1,034.64 × 278.48
  4. Step 4: Simplify right side
    689.44x = 288,126.55
  5. Step 5: Solve for x
    x = 288,126.55/689.44
  6. Step 6: Final answer
    x = 417.91

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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.