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Finding the Fourth Proportional to 655.22, 897.74 and 646.54

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Solution

The fourth proportional to 655.22, 897.74 and 646.54 is: 885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.22 : 897.74 = 646.54 : x
  2. Step 2: Convert to fraction form
    655.22/897.74 = 646.54/x
  3. Step 3: Cross multiply
    655.22x = 897.74 × 646.54
  4. Step 4: Simplify right side
    655.22x = 580,424.82
  5. Step 5: Solve for x
    x = 580,424.82/655.22
  6. Step 6: Final answer
    x = 885.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.