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Finding the Fourth Proportional to 894.14, 1,233.98 and 540.15

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Solution

The fourth proportional to 894.14, 1,233.98 and 540.15 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.14 : 1,233.98 = 540.15 : x
  2. Step 2: Convert to fraction form
    894.14/1,233.98 = 540.15/x
  3. Step 3: Cross multiply
    894.14x = 1,233.98 × 540.15
  4. Step 4: Simplify right side
    894.14x = 666,534.30
  5. Step 5: Solve for x
    x = 666,534.30/894.14
  6. Step 6: Final answer
    x = 745.45

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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.