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Finding the Fourth Proportional to 1,278.60, 1,918.03 and 456.94

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Solution

The fourth proportional to 1,278.60, 1,918.03 and 456.94 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.60 : 1,918.03 = 456.94 : x
  2. Step 2: Convert to fraction form
    1,278.60/1,918.03 = 456.94/x
  3. Step 3: Cross multiply
    1,278.60x = 1,918.03 × 456.94
  4. Step 4: Simplify right side
    1,278.60x = 876,424.63
  5. Step 5: Solve for x
    x = 876,424.63/1,278.60
  6. Step 6: Final answer
    x = 685.46

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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.