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Finding the Fourth Proportional to 649.31, 891.28 and 573.98

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Solution

The fourth proportional to 649.31, 891.28 and 573.98 is: 787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.31 : 891.28 = 573.98 : x
  2. Step 2: Convert to fraction form
    649.31/891.28 = 573.98/x
  3. Step 3: Cross multiply
    649.31x = 891.28 × 573.98
  4. Step 4: Simplify right side
    649.31x = 511,576.89
  5. Step 5: Solve for x
    x = 511,576.89/649.31
  6. Step 6: Final answer
    x = 787.88

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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.