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Finding the Fourth Proportional to 657.90, 985.70 and 423.66

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Solution

The fourth proportional to 657.90, 985.70 and 423.66 is: 634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.90 : 985.70 = 423.66 : x
  2. Step 2: Convert to fraction form
    657.90/985.70 = 423.66/x
  3. Step 3: Cross multiply
    657.90x = 985.70 × 423.66
  4. Step 4: Simplify right side
    657.90x = 417,601.66
  5. Step 5: Solve for x
    x = 417,601.66/657.90
  6. Step 6: Final answer
    x = 634.75

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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.