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Finding the Fourth Proportional to 468.84, 702.49 and 285.68

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Solution

The fourth proportional to 468.84, 702.49 and 285.68 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 702.49 = 285.68 : x
  2. Step 2: Convert to fraction form
    468.84/702.49 = 285.68/x
  3. Step 3: Cross multiply
    468.84x = 702.49 × 285.68
  4. Step 4: Simplify right side
    468.84x = 200,687.34
  5. Step 5: Solve for x
    x = 200,687.34/468.84
  6. Step 6: Final answer
    x = 428.05

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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.