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Finding the Fourth Proportional to 699.76, 963.06 and 559.36

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Solution

The fourth proportional to 699.76, 963.06 and 559.36 is: 769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 963.06 = 559.36 : x
  2. Step 2: Convert to fraction form
    699.76/963.06 = 559.36/x
  3. Step 3: Cross multiply
    699.76x = 963.06 × 559.36
  4. Step 4: Simplify right side
    699.76x = 538,697.24
  5. Step 5: Solve for x
    x = 538,697.24/699.76
  6. Step 6: Final answer
    x = 769.83

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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.