Home / 1,405.23-2,105.13-787.06

Finding the Fourth Proportional to 1,405.23, 2,105.13 and 787.06

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Solution

The fourth proportional to 1,405.23, 2,105.13 and 787.06 is: 1,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.23 : 2,105.13 = 787.06 : x
  2. Step 2: Convert to fraction form
    1,405.23/2,105.13 = 787.06/x
  3. Step 3: Cross multiply
    1,405.23x = 2,105.13 × 787.06
  4. Step 4: Simplify right side
    1,405.23x = 1,656,869.20
  5. Step 5: Solve for x
    x = 1,656,869.20/1,405.23
  6. Step 6: Final answer
    x = 1,179.08

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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.