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Finding the Fourth Proportional to 1,278.71, 1,918.32 and 456.99

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Solution

The fourth proportional to 1,278.71, 1,918.32 and 456.99 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.71 : 1,918.32 = 456.99 : x
  2. Step 2: Convert to fraction form
    1,278.71/1,918.32 = 456.99/x
  3. Step 3: Cross multiply
    1,278.71x = 1,918.32 × 456.99
  4. Step 4: Simplify right side
    1,278.71x = 876,653.06
  5. Step 5: Solve for x
    x = 876,653.06/1,278.71
  6. Step 6: Final answer
    x = 685.58

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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.