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Finding the Fourth Proportional to 896.19, 1,341.47 and 616.91

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Solution

The fourth proportional to 896.19, 1,341.47 and 616.91 is: 923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.19 : 1,341.47 = 616.91 : x
  2. Step 2: Convert to fraction form
    896.19/1,341.47 = 616.91/x
  3. Step 3: Cross multiply
    896.19x = 1,341.47 × 616.91
  4. Step 4: Simplify right side
    896.19x = 827,556.47
  5. Step 5: Solve for x
    x = 827,556.47/896.19
  6. Step 6: Final answer
    x = 923.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.