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Finding the Fourth Proportional to 1,398.06, 2,096.42 and 520.70

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Solution

The fourth proportional to 1,398.06, 2,096.42 and 520.70 is: 780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.06 : 2,096.42 = 520.70 : x
  2. Step 2: Convert to fraction form
    1,398.06/2,096.42 = 520.70/x
  3. Step 3: Cross multiply
    1,398.06x = 2,096.42 × 520.70
  4. Step 4: Simplify right side
    1,398.06x = 1,091,592.81
  5. Step 5: Solve for x
    x = 1,091,592.81/1,398.06
  6. Step 6: Final answer
    x = 780.79

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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.