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Finding the Fourth Proportional to 858.78, 1,290.22 and 551.23

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Solution

The fourth proportional to 858.78, 1,290.22 and 551.23 is: 828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.78 : 1,290.22 = 551.23 : x
  2. Step 2: Convert to fraction form
    858.78/1,290.22 = 551.23/x
  3. Step 3: Cross multiply
    858.78x = 1,290.22 × 551.23
  4. Step 4: Simplify right side
    858.78x = 711,203.37
  5. Step 5: Solve for x
    x = 711,203.37/858.78
  6. Step 6: Final answer
    x = 828.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.