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Finding the Fourth Proportional to 557.81, 836.78 and 442.25

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Solution

The fourth proportional to 557.81, 836.78 and 442.25 is: 663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.81 : 836.78 = 442.25 : x
  2. Step 2: Convert to fraction form
    557.81/836.78 = 442.25/x
  3. Step 3: Cross multiply
    557.81x = 836.78 × 442.25
  4. Step 4: Simplify right side
    557.81x = 370,063.74
  5. Step 5: Solve for x
    x = 370,063.74/557.81
  6. Step 6: Final answer
    x = 663.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.