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Finding the Fourth Proportional to 890.70, 1,336.05 and 817.80

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Solution

The fourth proportional to 890.70, 1,336.05 and 817.80 is: 1,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.70 : 1,336.05 = 817.80 : x
  2. Step 2: Convert to fraction form
    890.70/1,336.05 = 817.80/x
  3. Step 3: Cross multiply
    890.70x = 1,336.05 × 817.80
  4. Step 4: Simplify right side
    890.70x = 1,092,621.69
  5. Step 5: Solve for x
    x = 1,092,621.69/890.70
  6. Step 6: Final answer
    x = 1,226.70

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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.