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Finding the Fourth Proportional to 814.56, 1,222.48 and 302.56

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Solution

The fourth proportional to 814.56, 1,222.48 and 302.56 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.56 : 1,222.48 = 302.56 : x
  2. Step 2: Convert to fraction form
    814.56/1,222.48 = 302.56/x
  3. Step 3: Cross multiply
    814.56x = 1,222.48 × 302.56
  4. Step 4: Simplify right side
    814.56x = 369,873.55
  5. Step 5: Solve for x
    x = 369,873.55/814.56
  6. Step 6: Final answer
    x = 454.08

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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.