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Finding the Fourth Proportional to 685.14, 944.89 and 474.94

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Solution

The fourth proportional to 685.14, 944.89 and 474.94 is: 655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.14 : 944.89 = 474.94 : x
  2. Step 2: Convert to fraction form
    685.14/944.89 = 474.94/x
  3. Step 3: Cross multiply
    685.14x = 944.89 × 474.94
  4. Step 4: Simplify right side
    685.14x = 448,766.06
  5. Step 5: Solve for x
    x = 448,766.06/685.14
  6. Step 6: Final answer
    x = 655.00

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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.