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Finding the Fourth Proportional to 695.42, 1,043.37 and 262.64

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Solution

The fourth proportional to 695.42, 1,043.37 and 262.64 is: 394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.42 : 1,043.37 = 262.64 : x
  2. Step 2: Convert to fraction form
    695.42/1,043.37 = 262.64/x
  3. Step 3: Cross multiply
    695.42x = 1,043.37 × 262.64
  4. Step 4: Simplify right side
    695.42x = 274,030.70
  5. Step 5: Solve for x
    x = 274,030.70/695.42
  6. Step 6: Final answer
    x = 394.05

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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.