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Finding the Fourth Proportional to 694.77, 1,042.56 and 499.56

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Solution

The fourth proportional to 694.77, 1,042.56 and 499.56 is: 749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.77 : 1,042.56 = 499.56 : x
  2. Step 2: Convert to fraction form
    694.77/1,042.56 = 499.56/x
  3. Step 3: Cross multiply
    694.77x = 1,042.56 × 499.56
  4. Step 4: Simplify right side
    694.77x = 520,821.27
  5. Step 5: Solve for x
    x = 520,821.27/694.77
  6. Step 6: Final answer
    x = 749.63

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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.