Home / 1,192.26-1,787.11-498.75

Finding the Fourth Proportional to 1,192.26, 1,787.11 and 498.75

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Solution

The fourth proportional to 1,192.26, 1,787.11 and 498.75 is: 747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.26 : 1,787.11 = 498.75 : x
  2. Step 2: Convert to fraction form
    1,192.26/1,787.11 = 498.75/x
  3. Step 3: Cross multiply
    1,192.26x = 1,787.11 × 498.75
  4. Step 4: Simplify right side
    1,192.26x = 891,313.16
  5. Step 5: Solve for x
    x = 891,313.16/1,192.26
  6. Step 6: Final answer
    x = 747.58

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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.