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Finding the Fourth Proportional to 890.82, 1,336.32 and 830.70

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Solution

The fourth proportional to 890.82, 1,336.32 and 830.70 is: 1,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.82 : 1,336.32 = 830.70 : x
  2. Step 2: Convert to fraction form
    890.82/1,336.32 = 830.70/x
  3. Step 3: Cross multiply
    890.82x = 1,336.32 × 830.70
  4. Step 4: Simplify right side
    890.82x = 1,110,081.02
  5. Step 5: Solve for x
    x = 1,110,081.02/890.82
  6. Step 6: Final answer
    x = 1,246.13

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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.