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Finding the Fourth Proportional to 684.30, 949.19 and 660.99

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Solution

The fourth proportional to 684.30, 949.19 and 660.99 is: 916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.30 : 949.19 = 660.99 : x
  2. Step 2: Convert to fraction form
    684.30/949.19 = 660.99/x
  3. Step 3: Cross multiply
    684.30x = 949.19 × 660.99
  4. Step 4: Simplify right side
    684.30x = 627,401.79
  5. Step 5: Solve for x
    x = 627,401.79/684.30
  6. Step 6: Final answer
    x = 916.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.