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Finding the Fourth Proportional to 894.79, 1,234.92 and 563.23

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Solution

The fourth proportional to 894.79, 1,234.92 and 563.23 is: 777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.79 : 1,234.92 = 563.23 : x
  2. Step 2: Convert to fraction form
    894.79/1,234.92 = 563.23/x
  3. Step 3: Cross multiply
    894.79x = 1,234.92 × 563.23
  4. Step 4: Simplify right side
    894.79x = 695,543.99
  5. Step 5: Solve for x
    x = 695,543.99/894.79
  6. Step 6: Final answer
    x = 777.33

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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.