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Finding the Fourth Proportional to 685.66, 943.14 and 601.22

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Solution

The fourth proportional to 685.66, 943.14 and 601.22 is: 826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.66 : 943.14 = 601.22 : x
  2. Step 2: Convert to fraction form
    685.66/943.14 = 601.22/x
  3. Step 3: Cross multiply
    685.66x = 943.14 × 601.22
  4. Step 4: Simplify right side
    685.66x = 567,034.63
  5. Step 5: Solve for x
    x = 567,034.63/685.66
  6. Step 6: Final answer
    x = 826.99

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Double scale
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1.5x scale

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.