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Finding the Fourth Proportional to 656.55, 906.32 and 394.59

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Solution

The fourth proportional to 656.55, 906.32 and 394.59 is: 544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.55 : 906.32 = 394.59 : x
  2. Step 2: Convert to fraction form
    656.55/906.32 = 394.59/x
  3. Step 3: Cross multiply
    656.55x = 906.32 × 394.59
  4. Step 4: Simplify right side
    656.55x = 357,622.84
  5. Step 5: Solve for x
    x = 357,622.84/656.55
  6. Step 6: Final answer
    x = 544.70

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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.