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Finding the Fourth Proportional to 803.34, 1,205.28 and 418.50

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Solution

The fourth proportional to 803.34, 1,205.28 and 418.50 is: 627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.34 : 1,205.28 = 418.50 : x
  2. Step 2: Convert to fraction form
    803.34/1,205.28 = 418.50/x
  3. Step 3: Cross multiply
    803.34x = 1,205.28 × 418.50
  4. Step 4: Simplify right side
    803.34x = 504,409.68
  5. Step 5: Solve for x
    x = 504,409.68/803.34
  6. Step 6: Final answer
    x = 627.89

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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.