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Finding the Fourth Proportional to 637.14, 954.78 and 405.66

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Solution

The fourth proportional to 637.14, 954.78 and 405.66 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.14 : 954.78 = 405.66 : x
  2. Step 2: Convert to fraction form
    637.14/954.78 = 405.66/x
  3. Step 3: Cross multiply
    637.14x = 954.78 × 405.66
  4. Step 4: Simplify right side
    637.14x = 387,316.05
  5. Step 5: Solve for x
    x = 387,316.05/637.14
  6. Step 6: Final answer
    x = 607.90

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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.