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Finding the Fourth Proportional to 613.64, 846.19 and 473.78

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Solution

The fourth proportional to 613.64, 846.19 and 473.78 is: 653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.64 : 846.19 = 473.78 : x
  2. Step 2: Convert to fraction form
    613.64/846.19 = 473.78/x
  3. Step 3: Cross multiply
    613.64x = 846.19 × 473.78
  4. Step 4: Simplify right side
    613.64x = 400,910.61
  5. Step 5: Solve for x
    x = 400,910.61/613.64
  6. Step 6: Final answer
    x = 653.33

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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.