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Finding the Fourth Proportional to 890.18, 1,228.89 and 678.62

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Solution

The fourth proportional to 890.18, 1,228.89 and 678.62 is: 936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.18 : 1,228.89 = 678.62 : x
  2. Step 2: Convert to fraction form
    890.18/1,228.89 = 678.62/x
  3. Step 3: Cross multiply
    890.18x = 1,228.89 × 678.62
  4. Step 4: Simplify right side
    890.18x = 833,949.33
  5. Step 5: Solve for x
    x = 833,949.33/890.18
  6. Step 6: Final answer
    x = 936.83

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1.5x scale

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.