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Finding the Fourth Proportional to 896.69, 1,235.22 and 763.48

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Solution

The fourth proportional to 896.69, 1,235.22 and 763.48 is: 1,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.69 : 1,235.22 = 763.48 : x
  2. Step 2: Convert to fraction form
    896.69/1,235.22 = 763.48/x
  3. Step 3: Cross multiply
    896.69x = 1,235.22 × 763.48
  4. Step 4: Simplify right side
    896.69x = 943,065.77
  5. Step 5: Solve for x
    x = 943,065.77/896.69
  6. Step 6: Final answer
    x = 1,051.72

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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.