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Finding the Fourth Proportional to 661.52, 911.60 and 486.56

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Solution

The fourth proportional to 661.52, 911.60 and 486.56 is: 670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 911.60 = 486.56 : x
  2. Step 2: Convert to fraction form
    661.52/911.60 = 486.56/x
  3. Step 3: Cross multiply
    661.52x = 911.60 × 486.56
  4. Step 4: Simplify right side
    661.52x = 443,548.10
  5. Step 5: Solve for x
    x = 443,548.10/661.52
  6. Step 6: Final answer
    x = 670.50

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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.