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Finding the Fourth Proportional to 894.52, 1,234.74 and 563.50

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Solution

The fourth proportional to 894.52, 1,234.74 and 563.50 is: 777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.52 : 1,234.74 = 563.50 : x
  2. Step 2: Convert to fraction form
    894.52/1,234.74 = 563.50/x
  3. Step 3: Cross multiply
    894.52x = 1,234.74 × 563.50
  4. Step 4: Simplify right side
    894.52x = 695,775.99
  5. Step 5: Solve for x
    x = 695,775.99/894.52
  6. Step 6: Final answer
    x = 777.82

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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.