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Finding the Fourth Proportional to 666.56, 917.68 and 579.20

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Solution

The fourth proportional to 666.56, 917.68 and 579.20 is: 797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 917.68 = 579.20 : x
  2. Step 2: Convert to fraction form
    666.56/917.68 = 579.20/x
  3. Step 3: Cross multiply
    666.56x = 917.68 × 579.20
  4. Step 4: Simplify right side
    666.56x = 531,520.47
  5. Step 5: Solve for x
    x = 531,520.47/666.56
  6. Step 6: Final answer
    x = 797.41

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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.