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Finding the Fourth Proportional to 435.05, 652.81 and 288.44

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Solution

The fourth proportional to 435.05, 652.81 and 288.44 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.05 : 652.81 = 288.44 : x
  2. Step 2: Convert to fraction form
    435.05/652.81 = 288.44/x
  3. Step 3: Cross multiply
    435.05x = 652.81 × 288.44
  4. Step 4: Simplify right side
    435.05x = 188,296.52
  5. Step 5: Solve for x
    x = 188,296.52/435.05
  6. Step 6: Final answer
    x = 432.82

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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.