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Finding the Fourth Proportional to 656.30, 906.36 and 516.41

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Solution

The fourth proportional to 656.30, 906.36 and 516.41 is: 713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.30 : 906.36 = 516.41 : x
  2. Step 2: Convert to fraction form
    656.30/906.36 = 516.41/x
  3. Step 3: Cross multiply
    656.30x = 906.36 × 516.41
  4. Step 4: Simplify right side
    656.30x = 468,050.30
  5. Step 5: Solve for x
    x = 468,050.30/656.30
  6. Step 6: Final answer
    x = 713.16

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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.