Home / 1,223.27-1,834.93-492.78

Finding the Fourth Proportional to 1,223.27, 1,834.93 and 492.78

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Solution

The fourth proportional to 1,223.27, 1,834.93 and 492.78 is: 739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.27 : 1,834.93 = 492.78 : x
  2. Step 2: Convert to fraction form
    1,223.27/1,834.93 = 492.78/x
  3. Step 3: Cross multiply
    1,223.27x = 1,834.93 × 492.78
  4. Step 4: Simplify right side
    1,223.27x = 904,216.81
  5. Step 5: Solve for x
    x = 904,216.81/1,223.27
  6. Step 6: Final answer
    x = 739.18

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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.