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Finding the Fourth Proportional to 1,518.39, 2,278.97 and 641.55

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Solution

The fourth proportional to 1,518.39, 2,278.97 and 641.55 is: 962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.39 : 2,278.97 = 641.55 : x
  2. Step 2: Convert to fraction form
    1,518.39/2,278.97 = 641.55/x
  3. Step 3: Cross multiply
    1,518.39x = 2,278.97 × 641.55
  4. Step 4: Simplify right side
    1,518.39x = 1,462,070.00
  5. Step 5: Solve for x
    x = 1,462,070.00/1,518.39
  6. Step 6: Final answer
    x = 962.91

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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.