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Finding the Fourth Proportional to 1,067.18, 1,472.67 and 653.18

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Solution

The fourth proportional to 1,067.18, 1,472.67 and 653.18 is: 901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.18 : 1,472.67 = 653.18 : x
  2. Step 2: Convert to fraction form
    1,067.18/1,472.67 = 653.18/x
  3. Step 3: Cross multiply
    1,067.18x = 1,472.67 × 653.18
  4. Step 4: Simplify right side
    1,067.18x = 961,911.23
  5. Step 5: Solve for x
    x = 961,911.23/1,067.18
  6. Step 6: Final answer
    x = 901.36

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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.