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Finding the Fourth Proportional to 676.87, 922.28 and 661.88

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Solution

The fourth proportional to 676.87, 922.28 and 661.88 is: 901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.87 : 922.28 = 661.88 : x
  2. Step 2: Convert to fraction form
    676.87/922.28 = 661.88/x
  3. Step 3: Cross multiply
    676.87x = 922.28 × 661.88
  4. Step 4: Simplify right side
    676.87x = 610,438.69
  5. Step 5: Solve for x
    x = 610,438.69/676.87
  6. Step 6: Final answer
    x = 901.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.