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Finding the Fourth Proportional to 890.45, 1,333.61 and 616.73

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Solution

The fourth proportional to 890.45, 1,333.61 and 616.73 is: 923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.45 : 1,333.61 = 616.73 : x
  2. Step 2: Convert to fraction form
    890.45/1,333.61 = 616.73/x
  3. Step 3: Cross multiply
    890.45x = 1,333.61 × 616.73
  4. Step 4: Simplify right side
    890.45x = 822,470.63
  5. Step 5: Solve for x
    x = 822,470.63/890.45
  6. Step 6: Final answer
    x = 923.66

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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.