Home / 1,405.32-2,103.54-787.56

Finding the Fourth Proportional to 1,405.32, 2,103.54 and 787.56

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Solution

The fourth proportional to 1,405.32, 2,103.54 and 787.56 is: 1,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.32 : 2,103.54 = 787.56 : x
  2. Step 2: Convert to fraction form
    1,405.32/2,103.54 = 787.56/x
  3. Step 3: Cross multiply
    1,405.32x = 2,103.54 × 787.56
  4. Step 4: Simplify right side
    1,405.32x = 1,656,663.96
  5. Step 5: Solve for x
    x = 1,656,663.96/1,405.32
  6. Step 6: Final answer
    x = 1,178.85

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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.