Home / 1,192.14-1,786.84-498.68

Finding the Fourth Proportional to 1,192.14, 1,786.84 and 498.68

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Solution

The fourth proportional to 1,192.14, 1,786.84 and 498.68 is: 747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.14 : 1,786.84 = 498.68 : x
  2. Step 2: Convert to fraction form
    1,192.14/1,786.84 = 498.68/x
  3. Step 3: Cross multiply
    1,192.14x = 1,786.84 × 498.68
  4. Step 4: Simplify right side
    1,192.14x = 891,061.37
  5. Step 5: Solve for x
    x = 891,061.37/1,192.14
  6. Step 6: Final answer
    x = 747.45

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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.