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Finding the Fourth Proportional to 894.42, 1,335.51 and 801.27

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Solution

The fourth proportional to 894.42, 1,335.51 and 801.27 is: 1,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.42 : 1,335.51 = 801.27 : x
  2. Step 2: Convert to fraction form
    894.42/1,335.51 = 801.27/x
  3. Step 3: Cross multiply
    894.42x = 1,335.51 × 801.27
  4. Step 4: Simplify right side
    894.42x = 1,070,104.10
  5. Step 5: Solve for x
    x = 1,070,104.10/894.42
  6. Step 6: Final answer
    x = 1,196.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.