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Finding the Fourth Proportional to 894.12, 1,341.01 and 721.79

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Solution

The fourth proportional to 894.12, 1,341.01 and 721.79 is: 1,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.12 : 1,341.01 = 721.79 : x
  2. Step 2: Convert to fraction form
    894.12/1,341.01 = 721.79/x
  3. Step 3: Cross multiply
    894.12x = 1,341.01 × 721.79
  4. Step 4: Simplify right side
    894.12x = 967,931.86
  5. Step 5: Solve for x
    x = 967,931.86/894.12
  6. Step 6: Final answer
    x = 1,082.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.