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Finding the Fourth Proportional to 913.20, 1,369.68 and 450.80

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Solution

The fourth proportional to 913.20, 1,369.68 and 450.80 is: 676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.20 : 1,369.68 = 450.80 : x
  2. Step 2: Convert to fraction form
    913.20/1,369.68 = 450.80/x
  3. Step 3: Cross multiply
    913.20x = 1,369.68 × 450.80
  4. Step 4: Simplify right side
    913.20x = 617,451.74
  5. Step 5: Solve for x
    x = 617,451.74/913.20
  6. Step 6: Final answer
    x = 676.14

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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.