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Finding the Fourth Proportional to 661.29, 905.85 and 654

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Solution

The fourth proportional to 661.29, 905.85 and 654 is: 895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.29 : 905.85 = 654 : x
  2. Step 2: Convert to fraction form
    661.29/905.85 = 654/x
  3. Step 3: Cross multiply
    661.29x = 905.85 × 654
  4. Step 4: Simplify right side
    661.29x = 592,425.90
  5. Step 5: Solve for x
    x = 592,425.90/661.29
  6. Step 6: Final answer
    x = 895.86

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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.