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Finding the Fourth Proportional to 648.83, 894.86 and 471.80

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Solution

The fourth proportional to 648.83, 894.86 and 471.80 is: 650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.83 : 894.86 = 471.80 : x
  2. Step 2: Convert to fraction form
    648.83/894.86 = 471.80/x
  3. Step 3: Cross multiply
    648.83x = 894.86 × 471.80
  4. Step 4: Simplify right side
    648.83x = 422,196.60
  5. Step 5: Solve for x
    x = 422,196.60/648.83
  6. Step 6: Final answer
    x = 650.70

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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.