Home / 1,191.24-1,787.07-460.74

Finding the Fourth Proportional to 1,191.24, 1,787.07 and 460.74

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Solution

The fourth proportional to 1,191.24, 1,787.07 and 460.74 is: 691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.24 : 1,787.07 = 460.74 : x
  2. Step 2: Convert to fraction form
    1,191.24/1,787.07 = 460.74/x
  3. Step 3: Cross multiply
    1,191.24x = 1,787.07 × 460.74
  4. Step 4: Simplify right side
    1,191.24x = 823,374.63
  5. Step 5: Solve for x
    x = 823,374.63/1,191.24
  6. Step 6: Final answer
    x = 691.19

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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.