Home / 1,191.35-1,787.72-497.96

Finding the Fourth Proportional to 1,191.35, 1,787.72 and 497.96

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Solution

The fourth proportional to 1,191.35, 1,787.72 and 497.96 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.35 : 1,787.72 = 497.96 : x
  2. Step 2: Convert to fraction form
    1,191.35/1,787.72 = 497.96/x
  3. Step 3: Cross multiply
    1,191.35x = 1,787.72 × 497.96
  4. Step 4: Simplify right side
    1,191.35x = 890,216.53
  5. Step 5: Solve for x
    x = 890,216.53/1,191.35
  6. Step 6: Final answer
    x = 747.23

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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.