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Finding the Fourth Proportional to 684.62, 949.22 and 647.72

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Solution

The fourth proportional to 684.62, 949.22 and 647.72 is: 898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.62 : 949.22 = 647.72 : x
  2. Step 2: Convert to fraction form
    684.62/949.22 = 647.72/x
  3. Step 3: Cross multiply
    684.62x = 949.22 × 647.72
  4. Step 4: Simplify right side
    684.62x = 614,828.78
  5. Step 5: Solve for x
    x = 614,828.78/684.62
  6. Step 6: Final answer
    x = 898.06

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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.