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Finding the Fourth Proportional to 1,215.85, 1,823.63 and 338.42

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Solution

The fourth proportional to 1,215.85, 1,823.63 and 338.42 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.85 : 1,823.63 = 338.42 : x
  2. Step 2: Convert to fraction form
    1,215.85/1,823.63 = 338.42/x
  3. Step 3: Cross multiply
    1,215.85x = 1,823.63 × 338.42
  4. Step 4: Simplify right side
    1,215.85x = 617,154.72
  5. Step 5: Solve for x
    x = 617,154.72/1,215.85
  6. Step 6: Final answer
    x = 507.59

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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.