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Finding the Fourth Proportional to 685.62, 946.89 and 476.10

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Solution

The fourth proportional to 685.62, 946.89 and 476.10 is: 657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.62 : 946.89 = 476.10 : x
  2. Step 2: Convert to fraction form
    685.62/946.89 = 476.10/x
  3. Step 3: Cross multiply
    685.62x = 946.89 × 476.10
  4. Step 4: Simplify right side
    685.62x = 450,814.33
  5. Step 5: Solve for x
    x = 450,814.33/685.62
  6. Step 6: Final answer
    x = 657.53

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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.