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Finding the Fourth Proportional to 695.32, 1,043.38 and 256.87

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Solution

The fourth proportional to 695.32, 1,043.38 and 256.87 is: 385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.32 : 1,043.38 = 256.87 : x
  2. Step 2: Convert to fraction form
    695.32/1,043.38 = 256.87/x
  3. Step 3: Cross multiply
    695.32x = 1,043.38 × 256.87
  4. Step 4: Simplify right side
    695.32x = 268,013.02
  5. Step 5: Solve for x
    x = 268,013.02/695.32
  6. Step 6: Final answer
    x = 385.46

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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.