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Finding the Fourth Proportional to 685.98, 947.43 and 511.74

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Solution

The fourth proportional to 685.98, 947.43 and 511.74 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.98 : 947.43 = 511.74 : x
  2. Step 2: Convert to fraction form
    685.98/947.43 = 511.74/x
  3. Step 3: Cross multiply
    685.98x = 947.43 × 511.74
  4. Step 4: Simplify right side
    685.98x = 484,837.83
  5. Step 5: Solve for x
    x = 484,837.83/685.98
  6. Step 6: Final answer
    x = 706.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.