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Finding the Fourth Proportional to 632.27, 872.65 and 419.20

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Solution

The fourth proportional to 632.27, 872.65 and 419.20 is: 578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.27 : 872.65 = 419.20 : x
  2. Step 2: Convert to fraction form
    632.27/872.65 = 419.20/x
  3. Step 3: Cross multiply
    632.27x = 872.65 × 419.20
  4. Step 4: Simplify right side
    632.27x = 365,816.01
  5. Step 5: Solve for x
    x = 365,816.01/632.27
  6. Step 6: Final answer
    x = 578.58

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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.