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Finding the Fourth Proportional to 656.44, 912.17 and 648.28

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Solution

The fourth proportional to 656.44, 912.17 and 648.28 is: 900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 912.17 = 648.28 : x
  2. Step 2: Convert to fraction form
    656.44/912.17 = 648.28/x
  3. Step 3: Cross multiply
    656.44x = 912.17 × 648.28
  4. Step 4: Simplify right side
    656.44x = 591,341.57
  5. Step 5: Solve for x
    x = 591,341.57/656.44
  6. Step 6: Final answer
    x = 900.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.