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Finding the Fourth Proportional to 830.82, 1,244.99 and 521.74

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Solution

The fourth proportional to 830.82, 1,244.99 and 521.74 is: 781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.82 : 1,244.99 = 521.74 : x
  2. Step 2: Convert to fraction form
    830.82/1,244.99 = 521.74/x
  3. Step 3: Cross multiply
    830.82x = 1,244.99 × 521.74
  4. Step 4: Simplify right side
    830.82x = 649,561.08
  5. Step 5: Solve for x
    x = 649,561.08/830.82
  6. Step 6: Final answer
    x = 781.83

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Double scale
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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.