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Finding the Fourth Proportional to 632.16, 872.64 and 399.24

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Solution

The fourth proportional to 632.16, 872.64 and 399.24 is: 551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.16 : 872.64 = 399.24 : x
  2. Step 2: Convert to fraction form
    632.16/872.64 = 399.24/x
  3. Step 3: Cross multiply
    632.16x = 872.64 × 399.24
  4. Step 4: Simplify right side
    632.16x = 348,392.79
  5. Step 5: Solve for x
    x = 348,392.79/632.16
  6. Step 6: Final answer
    x = 551.11

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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.