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Finding the Fourth Proportional to 1,222.85, 1,834.57 and 357.16

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Solution

The fourth proportional to 1,222.85, 1,834.57 and 357.16 is: 535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.85 : 1,834.57 = 357.16 : x
  2. Step 2: Convert to fraction form
    1,222.85/1,834.57 = 357.16/x
  3. Step 3: Cross multiply
    1,222.85x = 1,834.57 × 357.16
  4. Step 4: Simplify right side
    1,222.85x = 655,235.02
  5. Step 5: Solve for x
    x = 655,235.02/1,222.85
  6. Step 6: Final answer
    x = 535.83

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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.