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Finding the Fourth Proportional to 440.73, 652.82 and 435.87

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Solution

The fourth proportional to 440.73, 652.82 and 435.87 is: 645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.73 : 652.82 = 435.87 : x
  2. Step 2: Convert to fraction form
    440.73/652.82 = 435.87/x
  3. Step 3: Cross multiply
    440.73x = 652.82 × 435.87
  4. Step 4: Simplify right side
    440.73x = 284,542.47
  5. Step 5: Solve for x
    x = 284,542.47/440.73
  6. Step 6: Final answer
    x = 645.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.