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Finding the Fourth Proportional to 657.36, 982.05 and 424.35

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Solution

The fourth proportional to 657.36, 982.05 and 424.35 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.36 : 982.05 = 424.35 : x
  2. Step 2: Convert to fraction form
    657.36/982.05 = 424.35/x
  3. Step 3: Cross multiply
    657.36x = 982.05 × 424.35
  4. Step 4: Simplify right side
    657.36x = 416,732.92
  5. Step 5: Solve for x
    x = 416,732.92/657.36
  6. Step 6: Final answer
    x = 633.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.