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Finding the Fourth Proportional to 656.64, 906.49 and 459.81

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Solution

The fourth proportional to 656.64, 906.49 and 459.81 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 906.49 = 459.81 : x
  2. Step 2: Convert to fraction form
    656.64/906.49 = 459.81/x
  3. Step 3: Cross multiply
    656.64x = 906.49 × 459.81
  4. Step 4: Simplify right side
    656.64x = 416,813.74
  5. Step 5: Solve for x
    x = 416,813.74/656.64
  6. Step 6: Final answer
    x = 634.77

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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.