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Finding the Fourth Proportional to 895.85, 1,235.11 and 580.56

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Solution

The fourth proportional to 895.85, 1,235.11 and 580.56 is: 800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.85 : 1,235.11 = 580.56 : x
  2. Step 2: Convert to fraction form
    895.85/1,235.11 = 580.56/x
  3. Step 3: Cross multiply
    895.85x = 1,235.11 × 580.56
  4. Step 4: Simplify right side
    895.85x = 717,049.29
  5. Step 5: Solve for x
    x = 717,049.29/895.85
  6. Step 6: Final answer
    x = 800.41

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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.