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Finding the Fourth Proportional to 468.33, 699.95 and 431.39

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Solution

The fourth proportional to 468.33, 699.95 and 431.39 is: 644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.33 : 699.95 = 431.39 : x
  2. Step 2: Convert to fraction form
    468.33/699.95 = 431.39/x
  3. Step 3: Cross multiply
    468.33x = 699.95 × 431.39
  4. Step 4: Simplify right side
    468.33x = 301,945.77
  5. Step 5: Solve for x
    x = 301,945.77/468.33
  6. Step 6: Final answer
    x = 644.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.