Home / 1,191.36-1,787.70-498.51

Finding the Fourth Proportional to 1,191.36, 1,787.70 and 498.51

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Solution

The fourth proportional to 1,191.36, 1,787.70 and 498.51 is: 748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.36 : 1,787.70 = 498.51 : x
  2. Step 2: Convert to fraction form
    1,191.36/1,787.70 = 498.51/x
  3. Step 3: Cross multiply
    1,191.36x = 1,787.70 × 498.51
  4. Step 4: Simplify right side
    1,191.36x = 891,186.33
  5. Step 5: Solve for x
    x = 891,186.33/1,191.36
  6. Step 6: Final answer
    x = 748.04

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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.