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Finding the Fourth Proportional to 648.26, 895.22 and 471.48

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Solution

The fourth proportional to 648.26, 895.22 and 471.48 is: 651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 895.22 = 471.48 : x
  2. Step 2: Convert to fraction form
    648.26/895.22 = 471.48/x
  3. Step 3: Cross multiply
    648.26x = 895.22 × 471.48
  4. Step 4: Simplify right side
    648.26x = 422,079.50
  5. Step 5: Solve for x
    x = 422,079.50/648.26
  6. Step 6: Final answer
    x = 651.09

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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.