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Finding the Fourth Proportional to 468.83, 702.70 and 285.81

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Solution

The fourth proportional to 468.83, 702.70 and 285.81 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.83 : 702.70 = 285.81 : x
  2. Step 2: Convert to fraction form
    468.83/702.70 = 285.81/x
  3. Step 3: Cross multiply
    468.83x = 702.70 × 285.81
  4. Step 4: Simplify right side
    468.83x = 200,837.97
  5. Step 5: Solve for x
    x = 200,837.97/468.83
  6. Step 6: Final answer
    x = 428.39

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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.