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Finding the Fourth Proportional to 660.56, 911.64 and 421.46

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Solution

The fourth proportional to 660.56, 911.64 and 421.46 is: 581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.56 : 911.64 = 421.46 : x
  2. Step 2: Convert to fraction form
    660.56/911.64 = 421.46/x
  3. Step 3: Cross multiply
    660.56x = 911.64 × 421.46
  4. Step 4: Simplify right side
    660.56x = 384,215.24
  5. Step 5: Solve for x
    x = 384,215.24/660.56
  6. Step 6: Final answer
    x = 581.66

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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.