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Finding the Fourth Proportional to 895.86, 1,235.25 and 563.83

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Solution

The fourth proportional to 895.86, 1,235.25 and 563.83 is: 777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.86 : 1,235.25 = 563.83 : x
  2. Step 2: Convert to fraction form
    895.86/1,235.25 = 563.83/x
  3. Step 3: Cross multiply
    895.86x = 1,235.25 × 563.83
  4. Step 4: Simplify right side
    895.86x = 696,467.92
  5. Step 5: Solve for x
    x = 696,467.92/895.86
  6. Step 6: Final answer
    x = 777.43

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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.