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Finding the Fourth Proportional to 894.20, 1,233.83 and 521.06

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Solution

The fourth proportional to 894.20, 1,233.83 and 521.06 is: 718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.20 : 1,233.83 = 521.06 : x
  2. Step 2: Convert to fraction form
    894.20/1,233.83 = 521.06/x
  3. Step 3: Cross multiply
    894.20x = 1,233.83 × 521.06
  4. Step 4: Simplify right side
    894.20x = 642,890.69
  5. Step 5: Solve for x
    x = 642,890.69/894.20
  6. Step 6: Final answer
    x = 718.96

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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.