Home / 1,222.62-1,834.08-442.53

Finding the Fourth Proportional to 1,222.62, 1,834.08 and 442.53

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Solution

The fourth proportional to 1,222.62, 1,834.08 and 442.53 is: 663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.62 : 1,834.08 = 442.53 : x
  2. Step 2: Convert to fraction form
    1,222.62/1,834.08 = 442.53/x
  3. Step 3: Cross multiply
    1,222.62x = 1,834.08 × 442.53
  4. Step 4: Simplify right side
    1,222.62x = 811,635.42
  5. Step 5: Solve for x
    x = 811,635.42/1,222.62
  6. Step 6: Final answer
    x = 663.85

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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.