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Finding the Fourth Proportional to 427.36, 636.04 and 424.80

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Solution

The fourth proportional to 427.36, 636.04 and 424.80 is: 632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.36 : 636.04 = 424.80 : x
  2. Step 2: Convert to fraction form
    427.36/636.04 = 424.80/x
  3. Step 3: Cross multiply
    427.36x = 636.04 × 424.80
  4. Step 4: Simplify right side
    427.36x = 270,189.79
  5. Step 5: Solve for x
    x = 270,189.79/427.36
  6. Step 6: Final answer
    x = 632.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.