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Finding the Fourth Proportional to 652.44, 898.83 and 539.94

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Solution

The fourth proportional to 652.44, 898.83 and 539.94 is: 743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 898.83 = 539.94 : x
  2. Step 2: Convert to fraction form
    652.44/898.83 = 539.94/x
  3. Step 3: Cross multiply
    652.44x = 898.83 × 539.94
  4. Step 4: Simplify right side
    652.44x = 485,317.64
  5. Step 5: Solve for x
    x = 485,317.64/652.44
  6. Step 6: Final answer
    x = 743.85

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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.