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Finding the Fourth Proportional to 894.17, 1,329.92 and 884.45

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Solution

The fourth proportional to 894.17, 1,329.92 and 884.45 is: 1,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.17 : 1,329.92 = 884.45 : x
  2. Step 2: Convert to fraction form
    894.17/1,329.92 = 884.45/x
  3. Step 3: Cross multiply
    894.17x = 1,329.92 × 884.45
  4. Step 4: Simplify right side
    894.17x = 1,176,249.96
  5. Step 5: Solve for x
    x = 1,176,249.96/894.17
  6. Step 6: Final answer
    x = 1,315.46

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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.