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Finding the Fourth Proportional to 894.13, 1,233.40 and 562.43

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Solution

The fourth proportional to 894.13, 1,233.40 and 562.43 is: 775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.13 : 1,233.40 = 562.43 : x
  2. Step 2: Convert to fraction form
    894.13/1,233.40 = 562.43/x
  3. Step 3: Cross multiply
    894.13x = 1,233.40 × 562.43
  4. Step 4: Simplify right side
    894.13x = 693,698.35
  5. Step 5: Solve for x
    x = 693,698.35/894.13
  6. Step 6: Final answer
    x = 775.84

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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.