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Finding the Fourth Proportional to 896.13, 1,235.80 and 581.28

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Solution

The fourth proportional to 896.13, 1,235.80 and 581.28 is: 801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.13 : 1,235.80 = 581.28 : x
  2. Step 2: Convert to fraction form
    896.13/1,235.80 = 581.28/x
  3. Step 3: Cross multiply
    896.13x = 1,235.80 × 581.28
  4. Step 4: Simplify right side
    896.13x = 718,341.62
  5. Step 5: Solve for x
    x = 718,341.62/896.13
  6. Step 6: Final answer
    x = 801.61

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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.