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Finding the Fourth Proportional to 468.74, 699.82 and 387.74

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Solution

The fourth proportional to 468.74, 699.82 and 387.74 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.74 : 699.82 = 387.74 : x
  2. Step 2: Convert to fraction form
    468.74/699.82 = 387.74/x
  3. Step 3: Cross multiply
    468.74x = 699.82 × 387.74
  4. Step 4: Simplify right side
    468.74x = 271,348.21
  5. Step 5: Solve for x
    x = 271,348.21/468.74
  6. Step 6: Final answer
    x = 578.89

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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.