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Finding the Fourth Proportional to 665.28, 914.40 and 581.76

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Solution

The fourth proportional to 665.28, 914.40 and 581.76 is: 799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.28 : 914.40 = 581.76 : x
  2. Step 2: Convert to fraction form
    665.28/914.40 = 581.76/x
  3. Step 3: Cross multiply
    665.28x = 914.40 × 581.76
  4. Step 4: Simplify right side
    665.28x = 531,961.34
  5. Step 5: Solve for x
    x = 531,961.34/665.28
  6. Step 6: Final answer
    x = 799.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.