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Finding the Fourth Proportional to 798.17, 1,196.82 and 490.14

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Solution

The fourth proportional to 798.17, 1,196.82 and 490.14 is: 734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.17 : 1,196.82 = 490.14 : x
  2. Step 2: Convert to fraction form
    798.17/1,196.82 = 490.14/x
  3. Step 3: Cross multiply
    798.17x = 1,196.82 × 490.14
  4. Step 4: Simplify right side
    798.17x = 586,609.35
  5. Step 5: Solve for x
    x = 586,609.35/798.17
  6. Step 6: Final answer
    x = 734.95

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Double scale
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1.5x scale

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.