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Finding the Fourth Proportional to 1,223.53, 1,835.26 and 357.85

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Solution

The fourth proportional to 1,223.53, 1,835.26 and 357.85 is: 536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.53 : 1,835.26 = 357.85 : x
  2. Step 2: Convert to fraction form
    1,223.53/1,835.26 = 357.85/x
  3. Step 3: Cross multiply
    1,223.53x = 1,835.26 × 357.85
  4. Step 4: Simplify right side
    1,223.53x = 656,747.79
  5. Step 5: Solve for x
    x = 656,747.79/1,223.53
  6. Step 6: Final answer
    x = 536.76

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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.