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Finding the Fourth Proportional to 648.16, 895.26 and 523.96

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Solution

The fourth proportional to 648.16, 895.26 and 523.96 is: 723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 895.26 = 523.96 : x
  2. Step 2: Convert to fraction form
    648.16/895.26 = 523.96/x
  3. Step 3: Cross multiply
    648.16x = 895.26 × 523.96
  4. Step 4: Simplify right side
    648.16x = 469,080.43
  5. Step 5: Solve for x
    x = 469,080.43/648.16
  6. Step 6: Final answer
    x = 723.71

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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.