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Finding the Fourth Proportional to 659.24, 911.48 and 648.84

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Solution

The fourth proportional to 659.24, 911.48 and 648.84 is: 897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.24 : 911.48 = 648.84 : x
  2. Step 2: Convert to fraction form
    659.24/911.48 = 648.84/x
  3. Step 3: Cross multiply
    659.24x = 911.48 × 648.84
  4. Step 4: Simplify right side
    659.24x = 591,401.44
  5. Step 5: Solve for x
    x = 591,401.44/659.24
  6. Step 6: Final answer
    x = 897.10

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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.