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Finding the Fourth Proportional to 656.20, 930.22 and 656.20

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Solution

The fourth proportional to 656.20, 930.22 and 656.20 is: 930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 930.22 = 656.20 : x
  2. Step 2: Convert to fraction form
    656.20/930.22 = 656.20/x
  3. Step 3: Cross multiply
    656.20x = 930.22 × 656.20
  4. Step 4: Simplify right side
    656.20x = 610,410.36
  5. Step 5: Solve for x
    x = 610,410.36/656.20
  6. Step 6: Final answer
    x = 930.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.