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Finding the Fourth Proportional to 655.79, 900.25 and 649.64

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Solution

The fourth proportional to 655.79, 900.25 and 649.64 is: 891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.79 : 900.25 = 649.64 : x
  2. Step 2: Convert to fraction form
    655.79/900.25 = 649.64/x
  3. Step 3: Cross multiply
    655.79x = 900.25 × 649.64
  4. Step 4: Simplify right side
    655.79x = 584,838.41
  5. Step 5: Solve for x
    x = 584,838.41/655.79
  6. Step 6: Final answer
    x = 891.81

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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.