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Finding the Fourth Proportional to 661.39, 911.61 and 474.59

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Solution

The fourth proportional to 661.39, 911.61 and 474.59 is: 654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.39 : 911.61 = 474.59 : x
  2. Step 2: Convert to fraction form
    661.39/911.61 = 474.59/x
  3. Step 3: Cross multiply
    661.39x = 911.61 × 474.59
  4. Step 4: Simplify right side
    661.39x = 432,643.27
  5. Step 5: Solve for x
    x = 432,643.27/661.39
  6. Step 6: Final answer
    x = 654.14

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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.