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Finding the Fourth Proportional to 859.58, 1,294.41 and 617.79

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Solution

The fourth proportional to 859.58, 1,294.41 and 617.79 is: 930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.58 : 1,294.41 = 617.79 : x
  2. Step 2: Convert to fraction form
    859.58/1,294.41 = 617.79/x
  3. Step 3: Cross multiply
    859.58x = 1,294.41 × 617.79
  4. Step 4: Simplify right side
    859.58x = 799,673.55
  5. Step 5: Solve for x
    x = 799,673.55/859.58
  6. Step 6: Final answer
    x = 930.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.