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Finding the Fourth Proportional to 551.76, 761.49 and 394.35

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Solution

The fourth proportional to 551.76, 761.49 and 394.35 is: 544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 761.49 = 394.35 : x
  2. Step 2: Convert to fraction form
    551.76/761.49 = 394.35/x
  3. Step 3: Cross multiply
    551.76x = 761.49 × 394.35
  4. Step 4: Simplify right side
    551.76x = 300,293.58
  5. Step 5: Solve for x
    x = 300,293.58/551.76
  6. Step 6: Final answer
    x = 544.25

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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.