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Finding the Fourth Proportional to 656.60, 906 and 408.20

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Solution

The fourth proportional to 656.60, 906 and 408.20 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.60 : 906 = 408.20 : x
  2. Step 2: Convert to fraction form
    656.60/906 = 408.20/x
  3. Step 3: Cross multiply
    656.60x = 906 × 408.20
  4. Step 4: Simplify right side
    656.60x = 369,829.20
  5. Step 5: Solve for x
    x = 369,829.20/656.60
  6. Step 6: Final answer
    x = 563.25

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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.