Home / 1,223.60-1,836.30-493.70

Finding the Fourth Proportional to 1,223.60, 1,836.30 and 493.70

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Solution

The fourth proportional to 1,223.60, 1,836.30 and 493.70 is: 740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.60 : 1,836.30 = 493.70 : x
  2. Step 2: Convert to fraction form
    1,223.60/1,836.30 = 493.70/x
  3. Step 3: Cross multiply
    1,223.60x = 1,836.30 × 493.70
  4. Step 4: Simplify right side
    1,223.60x = 906,581.31
  5. Step 5: Solve for x
    x = 906,581.31/1,223.60
  6. Step 6: Final answer
    x = 740.91

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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.