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Finding the Fourth Proportional to 655.93, 905.10 and 638.22

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Solution

The fourth proportional to 655.93, 905.10 and 638.22 is: 880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.93 : 905.10 = 638.22 : x
  2. Step 2: Convert to fraction form
    655.93/905.10 = 638.22/x
  3. Step 3: Cross multiply
    655.93x = 905.10 × 638.22
  4. Step 4: Simplify right side
    655.93x = 577,649.35
  5. Step 5: Solve for x
    x = 577,649.35/655.93
  6. Step 6: Final answer
    x = 880.66

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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.