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Finding the Fourth Proportional to 859.66, 1,288.86 and 551.86

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Solution

The fourth proportional to 859.66, 1,288.86 and 551.86 is: 827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.66 : 1,288.86 = 551.86 : x
  2. Step 2: Convert to fraction form
    859.66/1,288.86 = 551.86/x
  3. Step 3: Cross multiply
    859.66x = 1,288.86 × 551.86
  4. Step 4: Simplify right side
    859.66x = 711,270.28
  5. Step 5: Solve for x
    x = 711,270.28/859.66
  6. Step 6: Final answer
    x = 827.39

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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.