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Finding the Fourth Proportional to 805.38, 1,109.04 and 787.20

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Solution

The fourth proportional to 805.38, 1,109.04 and 787.20 is: 1,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.38 : 1,109.04 = 787.20 : x
  2. Step 2: Convert to fraction form
    805.38/1,109.04 = 787.20/x
  3. Step 3: Cross multiply
    805.38x = 1,109.04 × 787.20
  4. Step 4: Simplify right side
    805.38x = 873,036.29
  5. Step 5: Solve for x
    x = 873,036.29/805.38
  6. Step 6: Final answer
    x = 1,084.01

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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.