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Finding the Fourth Proportional to 1,518.97, 2,278.45 and 787.01

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Solution

The fourth proportional to 1,518.97, 2,278.45 and 787.01 is: 1,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.97 : 2,278.45 = 787.01 : x
  2. Step 2: Convert to fraction form
    1,518.97/2,278.45 = 787.01/x
  3. Step 3: Cross multiply
    1,518.97x = 2,278.45 × 787.01
  4. Step 4: Simplify right side
    1,518.97x = 1,793,161.15
  5. Step 5: Solve for x
    x = 1,793,161.15/1,518.97
  6. Step 6: Final answer
    x = 1,180.51

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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.