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Finding the Fourth Proportional to 694.77, 1,042.34 and 261.93

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Solution

The fourth proportional to 694.77, 1,042.34 and 261.93 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.77 : 1,042.34 = 261.93 : x
  2. Step 2: Convert to fraction form
    694.77/1,042.34 = 261.93/x
  3. Step 3: Cross multiply
    694.77x = 1,042.34 × 261.93
  4. Step 4: Simplify right side
    694.77x = 273,018.81
  5. Step 5: Solve for x
    x = 273,018.81/694.77
  6. Step 6: Final answer
    x = 392.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.