Home / 1,076.30-1,614.23-491.14

Finding the Fourth Proportional to 1,076.30, 1,614.23 and 491.14

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Solution

The fourth proportional to 1,076.30, 1,614.23 and 491.14 is: 736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.30 : 1,614.23 = 491.14 : x
  2. Step 2: Convert to fraction form
    1,076.30/1,614.23 = 491.14/x
  3. Step 3: Cross multiply
    1,076.30x = 1,614.23 × 491.14
  4. Step 4: Simplify right side
    1,076.30x = 792,802.40
  5. Step 5: Solve for x
    x = 792,802.40/1,076.30
  6. Step 6: Final answer
    x = 736.60

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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.