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Finding the Fourth Proportional to 661.92, 906.71 and 654.63

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Solution

The fourth proportional to 661.92, 906.71 and 654.63 is: 896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 906.71 = 654.63 : x
  2. Step 2: Convert to fraction form
    661.92/906.71 = 654.63/x
  3. Step 3: Cross multiply
    661.92x = 906.71 × 654.63
  4. Step 4: Simplify right side
    661.92x = 593,559.57
  5. Step 5: Solve for x
    x = 593,559.57/661.92
  6. Step 6: Final answer
    x = 896.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.