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Finding the Fourth Proportional to 657.45, 985.10 and 495.18

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Solution

The fourth proportional to 657.45, 985.10 and 495.18 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.45 : 985.10 = 495.18 : x
  2. Step 2: Convert to fraction form
    657.45/985.10 = 495.18/x
  3. Step 3: Cross multiply
    657.45x = 985.10 × 495.18
  4. Step 4: Simplify right side
    657.45x = 487,799.34
  5. Step 5: Solve for x
    x = 487,799.34/657.45
  6. Step 6: Final answer
    x = 741.96

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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.