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Finding the Fourth Proportional to 894.18, 1,233.60 and 521.07

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Solution

The fourth proportional to 894.18, 1,233.60 and 521.07 is: 718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.18 : 1,233.60 = 521.07 : x
  2. Step 2: Convert to fraction form
    894.18/1,233.60 = 521.07/x
  3. Step 3: Cross multiply
    894.18x = 1,233.60 × 521.07
  4. Step 4: Simplify right side
    894.18x = 642,791.95
  5. Step 5: Solve for x
    x = 642,791.95/894.18
  6. Step 6: Final answer
    x = 718.86

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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.