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Finding the Fourth Proportional to 656.65, 906.31 and 408.13

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Solution

The fourth proportional to 656.65, 906.31 and 408.13 is: 563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.65 : 906.31 = 408.13 : x
  2. Step 2: Convert to fraction form
    656.65/906.31 = 408.13/x
  3. Step 3: Cross multiply
    656.65x = 906.31 × 408.13
  4. Step 4: Simplify right side
    656.65x = 369,892.30
  5. Step 5: Solve for x
    x = 369,892.30/656.65
  6. Step 6: Final answer
    x = 563.30

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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.