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Finding the Fourth Proportional to 1,278.97, 1,918.47 and 457.29

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Solution

The fourth proportional to 1,278.97, 1,918.47 and 457.29 is: 685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.97 : 1,918.47 = 457.29 : x
  2. Step 2: Convert to fraction form
    1,278.97/1,918.47 = 457.29/x
  3. Step 3: Cross multiply
    1,278.97x = 1,918.47 × 457.29
  4. Step 4: Simplify right side
    1,278.97x = 877,297.15
  5. Step 5: Solve for x
    x = 877,297.15/1,278.97
  6. Step 6: Final answer
    x = 685.94

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Double scale
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1.5x scale

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.