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Finding the Fourth Proportional to 894.07, 1,234.47 and 645.94

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Solution

The fourth proportional to 894.07, 1,234.47 and 645.94 is: 891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.07 : 1,234.47 = 645.94 : x
  2. Step 2: Convert to fraction form
    894.07/1,234.47 = 645.94/x
  3. Step 3: Cross multiply
    894.07x = 1,234.47 × 645.94
  4. Step 4: Simplify right side
    894.07x = 797,384.15
  5. Step 5: Solve for x
    x = 797,384.15/894.07
  6. Step 6: Final answer
    x = 891.86

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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.