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Finding the Fourth Proportional to 559.81, 844.37 and 492.17

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Solution

The fourth proportional to 559.81, 844.37 and 492.17 is: 742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.81 : 844.37 = 492.17 : x
  2. Step 2: Convert to fraction form
    559.81/844.37 = 492.17/x
  3. Step 3: Cross multiply
    559.81x = 844.37 × 492.17
  4. Step 4: Simplify right side
    559.81x = 415,573.58
  5. Step 5: Solve for x
    x = 415,573.58/559.81
  6. Step 6: Final answer
    x = 742.35

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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.