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Finding the Fourth Proportional to 895.09, 1,234.23 and 563.11

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Solution

The fourth proportional to 895.09, 1,234.23 and 563.11 is: 776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.09 : 1,234.23 = 563.11 : x
  2. Step 2: Convert to fraction form
    895.09/1,234.23 = 563.11/x
  3. Step 3: Cross multiply
    895.09x = 1,234.23 × 563.11
  4. Step 4: Simplify right side
    895.09x = 695,004.44
  5. Step 5: Solve for x
    x = 695,004.44/895.09
  6. Step 6: Final answer
    x = 776.46

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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.