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Finding the Fourth Proportional to 656.62, 984.00 and 448.20

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Solution

The fourth proportional to 656.62, 984.00 and 448.20 is: 671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.62 : 984.00 = 448.20 : x
  2. Step 2: Convert to fraction form
    656.62/984.00 = 448.20/x
  3. Step 3: Cross multiply
    656.62x = 984.00 × 448.20
  4. Step 4: Simplify right side
    656.62x = 441,027.96
  5. Step 5: Solve for x
    x = 441,027.96/656.62
  6. Step 6: Final answer
    x = 671.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.