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Finding the Fourth Proportional to 656.56, 906.83 and 435.13

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Solution

The fourth proportional to 656.56, 906.83 and 435.13 is: 600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.56 : 906.83 = 435.13 : x
  2. Step 2: Convert to fraction form
    656.56/906.83 = 435.13/x
  3. Step 3: Cross multiply
    656.56x = 906.83 × 435.13
  4. Step 4: Simplify right side
    656.56x = 394,586.13
  5. Step 5: Solve for x
    x = 394,586.13/656.56
  6. Step 6: Final answer
    x = 600.99

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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.