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Finding the Fourth Proportional to 1,278.41, 1,765.33 and 807.15

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Solution

The fourth proportional to 1,278.41, 1,765.33 and 807.15 is: 1,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.41 : 1,765.33 = 807.15 : x
  2. Step 2: Convert to fraction form
    1,278.41/1,765.33 = 807.15/x
  3. Step 3: Cross multiply
    1,278.41x = 1,765.33 × 807.15
  4. Step 4: Simplify right side
    1,278.41x = 1,424,884.09
  5. Step 5: Solve for x
    x = 1,424,884.09/1,278.41
  6. Step 6: Final answer
    x = 1,114.58

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1.5x scale

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.