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Finding the Fourth Proportional to 1,218.95, 1,681.49 and 1,007.88

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Solution

The fourth proportional to 1,218.95, 1,681.49 and 1,007.88 is: 1,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.95 : 1,681.49 = 1,007.88 : x
  2. Step 2: Convert to fraction form
    1,218.95/1,681.49 = 1,007.88/x
  3. Step 3: Cross multiply
    1,218.95x = 1,681.49 × 1,007.88
  4. Step 4: Simplify right side
    1,218.95x = 1,694,736.36
  5. Step 5: Solve for x
    x = 1,694,736.36/1,218.95
  6. Step 6: Final answer
    x = 1,390.33

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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.