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Finding the Fourth Proportional to 894.42, 1,233.09 and 631.98

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Solution

The fourth proportional to 894.42, 1,233.09 and 631.98 is: 871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.42 : 1,233.09 = 631.98 : x
  2. Step 2: Convert to fraction form
    894.42/1,233.09 = 631.98/x
  3. Step 3: Cross multiply
    894.42x = 1,233.09 × 631.98
  4. Step 4: Simplify right side
    894.42x = 779,288.22
  5. Step 5: Solve for x
    x = 779,288.22/894.42
  6. Step 6: Final answer
    x = 871.28

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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.