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Finding the Fourth Proportional to 661.76, 911.92 and 537.76

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Solution

The fourth proportional to 661.76, 911.92 and 537.76 is: 741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.76 : 911.92 = 537.76 : x
  2. Step 2: Convert to fraction form
    661.76/911.92 = 537.76/x
  3. Step 3: Cross multiply
    661.76x = 911.92 × 537.76
  4. Step 4: Simplify right side
    661.76x = 490,394.10
  5. Step 5: Solve for x
    x = 490,394.10/661.76
  6. Step 6: Final answer
    x = 741.05

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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.