Home / 1,223.43-1,835.28-493.02

Finding the Fourth Proportional to 1,223.43, 1,835.28 and 493.02

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Solution

The fourth proportional to 1,223.43, 1,835.28 and 493.02 is: 739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.43 : 1,835.28 = 493.02 : x
  2. Step 2: Convert to fraction form
    1,223.43/1,835.28 = 493.02/x
  3. Step 3: Cross multiply
    1,223.43x = 1,835.28 × 493.02
  4. Step 4: Simplify right side
    1,223.43x = 904,829.75
  5. Step 5: Solve for x
    x = 904,829.75/1,223.43
  6. Step 6: Final answer
    x = 739.58

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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.