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Finding the Fourth Proportional to 462.14, 638.89 and 442.78

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Solution

The fourth proportional to 462.14, 638.89 and 442.78 is: 612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 638.89 = 442.78 : x
  2. Step 2: Convert to fraction form
    462.14/638.89 = 442.78/x
  3. Step 3: Cross multiply
    462.14x = 638.89 × 442.78
  4. Step 4: Simplify right side
    462.14x = 282,887.50
  5. Step 5: Solve for x
    x = 282,887.50/462.14
  6. Step 6: Final answer
    x = 612.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.