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Finding the Fourth Proportional to 1,067.50, 1,472.14 and 694.77

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Solution

The fourth proportional to 1,067.50, 1,472.14 and 694.77 is: 958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.50 : 1,472.14 = 694.77 : x
  2. Step 2: Convert to fraction form
    1,067.50/1,472.14 = 694.77/x
  3. Step 3: Cross multiply
    1,067.50x = 1,472.14 × 694.77
  4. Step 4: Simplify right side
    1,067.50x = 1,022,798.71
  5. Step 5: Solve for x
    x = 1,022,798.71/1,067.50
  6. Step 6: Final answer
    x = 958.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.