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Finding the Fourth Proportional to 1,278.74, 1,918.92 and 457.00

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Solution

The fourth proportional to 1,278.74, 1,918.92 and 457.00 is: 685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.74 : 1,918.92 = 457.00 : x
  2. Step 2: Convert to fraction form
    1,278.74/1,918.92 = 457.00/x
  3. Step 3: Cross multiply
    1,278.74x = 1,918.92 × 457.00
  4. Step 4: Simplify right side
    1,278.74x = 876,943.36
  5. Step 5: Solve for x
    x = 876,943.36/1,278.74
  6. Step 6: Final answer
    x = 685.79

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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.