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Finding the Fourth Proportional to 451.84, 615.20 and 450.40

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Solution

The fourth proportional to 451.84, 615.20 and 450.40 is: 613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.84 : 615.20 = 450.40 : x
  2. Step 2: Convert to fraction form
    451.84/615.20 = 450.40/x
  3. Step 3: Cross multiply
    451.84x = 615.20 × 450.40
  4. Step 4: Simplify right side
    451.84x = 277,086.08
  5. Step 5: Solve for x
    x = 277,086.08/451.84
  6. Step 6: Final answer
    x = 613.24

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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.