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Finding the Fourth Proportional to 547.20, 817.31 and 470.39

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Solution

The fourth proportional to 547.20, 817.31 and 470.39 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 817.31 = 470.39 : x
  2. Step 2: Convert to fraction form
    547.20/817.31 = 470.39/x
  3. Step 3: Cross multiply
    547.20x = 817.31 × 470.39
  4. Step 4: Simplify right side
    547.20x = 384,451.54
  5. Step 5: Solve for x
    x = 384,451.54/547.20
  6. Step 6: Final answer
    x = 702.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.