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Finding the Fourth Proportional to 684.66, 949.18 and 647.72

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Solution

The fourth proportional to 684.66, 949.18 and 647.72 is: 897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 949.18 = 647.72 : x
  2. Step 2: Convert to fraction form
    684.66/949.18 = 647.72/x
  3. Step 3: Cross multiply
    684.66x = 949.18 × 647.72
  4. Step 4: Simplify right side
    684.66x = 614,802.87
  5. Step 5: Solve for x
    x = 614,802.87/684.66
  6. Step 6: Final answer
    x = 897.97

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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.