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Finding the Fourth Proportional to 657.60, 906.81 and 480.58

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Solution

The fourth proportional to 657.60, 906.81 and 480.58 is: 662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 906.81 = 480.58 : x
  2. Step 2: Convert to fraction form
    657.60/906.81 = 480.58/x
  3. Step 3: Cross multiply
    657.60x = 906.81 × 480.58
  4. Step 4: Simplify right side
    657.60x = 435,794.75
  5. Step 5: Solve for x
    x = 435,794.75/657.60
  6. Step 6: Final answer
    x = 662.70

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1.5x scale

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.