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Finding the Fourth Proportional to 695.86, 1,043.78 and 279.57

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Solution

The fourth proportional to 695.86, 1,043.78 and 279.57 is: 419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.86 : 1,043.78 = 279.57 : x
  2. Step 2: Convert to fraction form
    695.86/1,043.78 = 279.57/x
  3. Step 3: Cross multiply
    695.86x = 1,043.78 × 279.57
  4. Step 4: Simplify right side
    695.86x = 291,808.18
  5. Step 5: Solve for x
    x = 291,808.18/695.86
  6. Step 6: Final answer
    x = 419.35

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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.