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Finding the Fourth Proportional to 657.77, 984.56 and 349.16

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Solution

The fourth proportional to 657.77, 984.56 and 349.16 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.77 : 984.56 = 349.16 : x
  2. Step 2: Convert to fraction form
    657.77/984.56 = 349.16/x
  3. Step 3: Cross multiply
    657.77x = 984.56 × 349.16
  4. Step 4: Simplify right side
    657.77x = 343,767.84
  5. Step 5: Solve for x
    x = 343,767.84/657.77
  6. Step 6: Final answer
    x = 522.63

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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.