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Finding the Fourth Proportional to 795.68, 1,096.68 and 559.70

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Solution

The fourth proportional to 795.68, 1,096.68 and 559.70 is: 771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.68 : 1,096.68 = 559.70 : x
  2. Step 2: Convert to fraction form
    795.68/1,096.68 = 559.70/x
  3. Step 3: Cross multiply
    795.68x = 1,096.68 × 559.70
  4. Step 4: Simplify right side
    795.68x = 613,811.80
  5. Step 5: Solve for x
    x = 613,811.80/795.68
  6. Step 6: Final answer
    x = 771.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.