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Finding the Fourth Proportional to 657.52, 906.34 and 480.50

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Solution

The fourth proportional to 657.52, 906.34 and 480.50 is: 662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.52 : 906.34 = 480.50 : x
  2. Step 2: Convert to fraction form
    657.52/906.34 = 480.50/x
  3. Step 3: Cross multiply
    657.52x = 906.34 × 480.50
  4. Step 4: Simplify right side
    657.52x = 435,494.65
  5. Step 5: Solve for x
    x = 435,494.65/657.52
  6. Step 6: Final answer
    x = 662.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.