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Finding the Fourth Proportional to 655.31, 905.02 and 650.77

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Solution

The fourth proportional to 655.31, 905.02 and 650.77 is: 898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.31 : 905.02 = 650.77 : x
  2. Step 2: Convert to fraction form
    655.31/905.02 = 650.77/x
  3. Step 3: Cross multiply
    655.31x = 905.02 × 650.77
  4. Step 4: Simplify right side
    655.31x = 588,955.98
  5. Step 5: Solve for x
    x = 588,955.98/655.31
  6. Step 6: Final answer
    x = 898.74

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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.