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Finding the Fourth Proportional to 695.49, 1,043.51 and 256.88

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Solution

The fourth proportional to 695.49, 1,043.51 and 256.88 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.49 : 1,043.51 = 256.88 : x
  2. Step 2: Convert to fraction form
    695.49/1,043.51 = 256.88/x
  3. Step 3: Cross multiply
    695.49x = 1,043.51 × 256.88
  4. Step 4: Simplify right side
    695.49x = 268,056.85
  5. Step 5: Solve for x
    x = 268,056.85/695.49
  6. Step 6: Final answer
    x = 385.42

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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.