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Finding the Fourth Proportional to 660.28, 910.32 and 541.80

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Solution

The fourth proportional to 660.28, 910.32 and 541.80 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.28 : 910.32 = 541.80 : x
  2. Step 2: Convert to fraction form
    660.28/910.32 = 541.80/x
  3. Step 3: Cross multiply
    660.28x = 910.32 × 541.80
  4. Step 4: Simplify right side
    660.28x = 493,211.38
  5. Step 5: Solve for x
    x = 493,211.38/660.28
  6. Step 6: Final answer
    x = 746.97

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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.