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Finding the Fourth Proportional to 450.34, 613.16 and 448.90

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Solution

The fourth proportional to 450.34, 613.16 and 448.90 is: 611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.34 : 613.16 = 448.90 : x
  2. Step 2: Convert to fraction form
    450.34/613.16 = 448.90/x
  3. Step 3: Cross multiply
    450.34x = 613.16 × 448.90
  4. Step 4: Simplify right side
    450.34x = 275,247.52
  5. Step 5: Solve for x
    x = 275,247.52/450.34
  6. Step 6: Final answer
    x = 611.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.