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Finding the Fourth Proportional to 587.42, 806.80 and 551.28

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Solution

The fourth proportional to 587.42, 806.80 and 551.28 is: 757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.42 : 806.80 = 551.28 : x
  2. Step 2: Convert to fraction form
    587.42/806.80 = 551.28/x
  3. Step 3: Cross multiply
    587.42x = 806.80 × 551.28
  4. Step 4: Simplify right side
    587.42x = 444,772.70
  5. Step 5: Solve for x
    x = 444,772.70/587.42
  6. Step 6: Final answer
    x = 757.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.