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Finding the Fourth Proportional to 695.29, 1,043.10 and 208.33

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Solution

The fourth proportional to 695.29, 1,043.10 and 208.33 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.29 : 1,043.10 = 208.33 : x
  2. Step 2: Convert to fraction form
    695.29/1,043.10 = 208.33/x
  3. Step 3: Cross multiply
    695.29x = 1,043.10 × 208.33
  4. Step 4: Simplify right side
    695.29x = 217,307.98
  5. Step 5: Solve for x
    x = 217,307.98/695.29
  6. Step 6: Final answer
    x = 312.55

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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.