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Finding the Fourth Proportional to 1,651.25, 2,278.94 and 988.47

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Solution

The fourth proportional to 1,651.25, 2,278.94 and 988.47 is: 1,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.25 : 2,278.94 = 988.47 : x
  2. Step 2: Convert to fraction form
    1,651.25/2,278.94 = 988.47/x
  3. Step 3: Cross multiply
    1,651.25x = 2,278.94 × 988.47
  4. Step 4: Simplify right side
    1,651.25x = 2,252,658.88
  5. Step 5: Solve for x
    x = 2,252,658.88/1,651.25
  6. Step 6: Final answer
    x = 1,364.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.