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Finding the Fourth Proportional to 1,278.51, 1,765.16 and 807.04

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Solution

The fourth proportional to 1,278.51, 1,765.16 and 807.04 is: 1,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.51 : 1,765.16 = 807.04 : x
  2. Step 2: Convert to fraction form
    1,278.51/1,765.16 = 807.04/x
  3. Step 3: Cross multiply
    1,278.51x = 1,765.16 × 807.04
  4. Step 4: Simplify right side
    1,278.51x = 1,424,554.73
  5. Step 5: Solve for x
    x = 1,424,554.73/1,278.51
  6. Step 6: Final answer
    x = 1,114.23

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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.