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Finding the Fourth Proportional to 423.64, 632.39 and 393.64

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Solution

The fourth proportional to 423.64, 632.39 and 393.64 is: 587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 632.39 = 393.64 : x
  2. Step 2: Convert to fraction form
    423.64/632.39 = 393.64/x
  3. Step 3: Cross multiply
    423.64x = 632.39 × 393.64
  4. Step 4: Simplify right side
    423.64x = 248,934.00
  5. Step 5: Solve for x
    x = 248,934.00/423.64
  6. Step 6: Final answer
    x = 587.61

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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.