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Finding the Fourth Proportional to 617.98, 851.09 and 571.81

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Solution

The fourth proportional to 617.98, 851.09 and 571.81 is: 787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.98 : 851.09 = 571.81 : x
  2. Step 2: Convert to fraction form
    617.98/851.09 = 571.81/x
  3. Step 3: Cross multiply
    617.98x = 851.09 × 571.81
  4. Step 4: Simplify right side
    617.98x = 486,661.07
  5. Step 5: Solve for x
    x = 486,661.07/617.98
  6. Step 6: Final answer
    x = 787.51

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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.