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Finding the Fourth Proportional to 632.01, 872.08 and 383.20

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Solution

The fourth proportional to 632.01, 872.08 and 383.20 is: 528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.01 : 872.08 = 383.20 : x
  2. Step 2: Convert to fraction form
    632.01/872.08 = 383.20/x
  3. Step 3: Cross multiply
    632.01x = 872.08 × 383.20
  4. Step 4: Simplify right side
    632.01x = 334,181.06
  5. Step 5: Solve for x
    x = 334,181.06/632.01
  6. Step 6: Final answer
    x = 528.76

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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.