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Finding the Fourth Proportional to 547.91, 817.23 and 465.83

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Solution

The fourth proportional to 547.91, 817.23 and 465.83 is: 694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.91 : 817.23 = 465.83 : x
  2. Step 2: Convert to fraction form
    547.91/817.23 = 465.83/x
  3. Step 3: Cross multiply
    547.91x = 817.23 × 465.83
  4. Step 4: Simplify right side
    547.91x = 380,690.25
  5. Step 5: Solve for x
    x = 380,690.25/547.91
  6. Step 6: Final answer
    x = 694.80

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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.