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Finding the Fourth Proportional to 695.69, 1,043.21 and 533.05

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Solution

The fourth proportional to 695.69, 1,043.21 and 533.05 is: 799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.69 : 1,043.21 = 533.05 : x
  2. Step 2: Convert to fraction form
    695.69/1,043.21 = 533.05/x
  3. Step 3: Cross multiply
    695.69x = 1,043.21 × 533.05
  4. Step 4: Simplify right side
    695.69x = 556,081.82
  5. Step 5: Solve for x
    x = 556,081.82/695.69
  6. Step 6: Final answer
    x = 799.33

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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.