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Finding the Fourth Proportional to 451.20, 614.40 and 451.20

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Solution

The fourth proportional to 451.20, 614.40 and 451.20 is: 614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.20 : 614.40 = 451.20 : x
  2. Step 2: Convert to fraction form
    451.20/614.40 = 451.20/x
  3. Step 3: Cross multiply
    451.20x = 614.40 × 451.20
  4. Step 4: Simplify right side
    451.20x = 277,217.28
  5. Step 5: Solve for x
    x = 277,217.28/451.20
  6. Step 6: Final answer
    x = 614.40

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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.