Home / 1,112.91-1,670.30-748.14

Finding the Fourth Proportional to 1,112.91, 1,670.30 and 748.14

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Solution

The fourth proportional to 1,112.91, 1,670.30 and 748.14 is: 1,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.91 : 1,670.30 = 748.14 : x
  2. Step 2: Convert to fraction form
    1,112.91/1,670.30 = 748.14/x
  3. Step 3: Cross multiply
    1,112.91x = 1,670.30 × 748.14
  4. Step 4: Simplify right side
    1,112.91x = 1,249,618.24
  5. Step 5: Solve for x
    x = 1,249,618.24/1,112.91
  6. Step 6: Final answer
    x = 1,122.84

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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.