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Finding the Fourth Proportional to 653.82, 898.26 and 529.09

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Solution

The fourth proportional to 653.82, 898.26 and 529.09 is: 726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 898.26 = 529.09 : x
  2. Step 2: Convert to fraction form
    653.82/898.26 = 529.09/x
  3. Step 3: Cross multiply
    653.82x = 898.26 × 529.09
  4. Step 4: Simplify right side
    653.82x = 475,266.93
  5. Step 5: Solve for x
    x = 475,266.93/653.82
  6. Step 6: Final answer
    x = 726.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.