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Finding the Fourth Proportional to 900.34, 1,350.78 and 284.11

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Solution

The fourth proportional to 900.34, 1,350.78 and 284.11 is: 426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.34 : 1,350.78 = 284.11 : x
  2. Step 2: Convert to fraction form
    900.34/1,350.78 = 284.11/x
  3. Step 3: Cross multiply
    900.34x = 1,350.78 × 284.11
  4. Step 4: Simplify right side
    900.34x = 383,770.11
  5. Step 5: Solve for x
    x = 383,770.11/900.34
  6. Step 6: Final answer
    x = 426.25

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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.