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Finding the Fourth Proportional to 656.20, 905.22 and 582.60

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Solution

The fourth proportional to 656.20, 905.22 and 582.60 is: 803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 905.22 = 582.60 : x
  2. Step 2: Convert to fraction form
    656.20/905.22 = 582.60/x
  3. Step 3: Cross multiply
    656.20x = 905.22 × 582.60
  4. Step 4: Simplify right side
    656.20x = 527,381.17
  5. Step 5: Solve for x
    x = 527,381.17/656.20
  6. Step 6: Final answer
    x = 803.69

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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.