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Finding the Fourth Proportional to 1,463.30, 2,194.72 and 539.30

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Solution

The fourth proportional to 1,463.30, 2,194.72 and 539.30 is: 808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.30 : 2,194.72 = 539.30 : x
  2. Step 2: Convert to fraction form
    1,463.30/2,194.72 = 539.30/x
  3. Step 3: Cross multiply
    1,463.30x = 2,194.72 × 539.30
  4. Step 4: Simplify right side
    1,463.30x = 1,183,612.50
  5. Step 5: Solve for x
    x = 1,183,612.50/1,463.30
  6. Step 6: Final answer
    x = 808.87

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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.