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Finding the Fourth Proportional to 893.68, 1,233 and 631.84

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Solution

The fourth proportional to 893.68, 1,233 and 631.84 is: 871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.68 : 1,233 = 631.84 : x
  2. Step 2: Convert to fraction form
    893.68/1,233 = 631.84/x
  3. Step 3: Cross multiply
    893.68x = 1,233 × 631.84
  4. Step 4: Simplify right side
    893.68x = 779,058.72
  5. Step 5: Solve for x
    x = 779,058.72/893.68
  6. Step 6: Final answer
    x = 871.74

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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.