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Finding the Fourth Proportional to 632.64, 873.36 and 426.72

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Solution

The fourth proportional to 632.64, 873.36 and 426.72 is: 589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.64 : 873.36 = 426.72 : x
  2. Step 2: Convert to fraction form
    632.64/873.36 = 426.72/x
  3. Step 3: Cross multiply
    632.64x = 873.36 × 426.72
  4. Step 4: Simplify right side
    632.64x = 372,680.18
  5. Step 5: Solve for x
    x = 372,680.18/632.64
  6. Step 6: Final answer
    x = 589.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.