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Finding the Fourth Proportional to 402.84, 603 and 286.92

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Solution

The fourth proportional to 402.84, 603 and 286.92 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 603 = 286.92 : x
  2. Step 2: Convert to fraction form
    402.84/603 = 286.92/x
  3. Step 3: Cross multiply
    402.84x = 603 × 286.92
  4. Step 4: Simplify right side
    402.84x = 173,012.76
  5. Step 5: Solve for x
    x = 173,012.76/402.84
  6. Step 6: Final answer
    x = 429.48

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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.