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Finding the Fourth Proportional to 685.57, 946.08 and 375.07

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Solution

The fourth proportional to 685.57, 946.08 and 375.07 is: 517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.57 : 946.08 = 375.07 : x
  2. Step 2: Convert to fraction form
    685.57/946.08 = 375.07/x
  3. Step 3: Cross multiply
    685.57x = 946.08 × 375.07
  4. Step 4: Simplify right side
    685.57x = 354,839.62
  5. Step 5: Solve for x
    x = 354,839.62/685.57
  6. Step 6: Final answer
    x = 517.59

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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.