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Finding the Fourth Proportional to 896.08, 1,235.62 and 564.12

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Solution

The fourth proportional to 896.08, 1,235.62 and 564.12 is: 777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.08 : 1,235.62 = 564.12 : x
  2. Step 2: Convert to fraction form
    896.08/1,235.62 = 564.12/x
  3. Step 3: Cross multiply
    896.08x = 1,235.62 × 564.12
  4. Step 4: Simplify right side
    896.08x = 697,037.95
  5. Step 5: Solve for x
    x = 697,037.95/896.08
  6. Step 6: Final answer
    x = 777.87

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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.