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Finding the Fourth Proportional to 551.20, 821.93 and 546.25

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Solution

The fourth proportional to 551.20, 821.93 and 546.25 is: 814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.20 : 821.93 = 546.25 : x
  2. Step 2: Convert to fraction form
    551.20/821.93 = 546.25/x
  3. Step 3: Cross multiply
    551.20x = 821.93 × 546.25
  4. Step 4: Simplify right side
    551.20x = 448,979.26
  5. Step 5: Solve for x
    x = 448,979.26/551.20
  6. Step 6: Final answer
    x = 814.55

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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.