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Finding the Fourth Proportional to 657.60, 906.78 and 564.66

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Solution

The fourth proportional to 657.60, 906.78 and 564.66 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 906.78 = 564.66 : x
  2. Step 2: Convert to fraction form
    657.60/906.78 = 564.66/x
  3. Step 3: Cross multiply
    657.60x = 906.78 × 564.66
  4. Step 4: Simplify right side
    657.60x = 512,022.39
  5. Step 5: Solve for x
    x = 512,022.39/657.60
  6. Step 6: Final answer
    x = 778.62

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