Home / 1,191.65-1,787.41-707.78

Finding the Fourth Proportional to 1,191.65, 1,787.41 and 707.78

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Solution

The fourth proportional to 1,191.65, 1,787.41 and 707.78 is: 1,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.65 : 1,787.41 = 707.78 : x
  2. Step 2: Convert to fraction form
    1,191.65/1,787.41 = 707.78/x
  3. Step 3: Cross multiply
    1,191.65x = 1,787.41 × 707.78
  4. Step 4: Simplify right side
    1,191.65x = 1,265,095.75
  5. Step 5: Solve for x
    x = 1,265,095.75/1,191.65
  6. Step 6: Final answer
    x = 1,061.63

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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.