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Finding the Fourth Proportional to 632.00, 871.88 and 383.22

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Solution

The fourth proportional to 632.00, 871.88 and 383.22 is: 528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.00 : 871.88 = 383.22 : x
  2. Step 2: Convert to fraction form
    632.00/871.88 = 383.22/x
  3. Step 3: Cross multiply
    632.00x = 871.88 × 383.22
  4. Step 4: Simplify right side
    632.00x = 334,122.81
  5. Step 5: Solve for x
    x = 334,122.81/632.00
  6. Step 6: Final answer
    x = 528.68

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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.