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Finding the Fourth Proportional to 589.78, 810.37 and 551.86

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Solution

The fourth proportional to 589.78, 810.37 and 551.86 is: 758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 810.37 = 551.86 : x
  2. Step 2: Convert to fraction form
    589.78/810.37 = 551.86/x
  3. Step 3: Cross multiply
    589.78x = 810.37 × 551.86
  4. Step 4: Simplify right side
    589.78x = 447,210.79
  5. Step 5: Solve for x
    x = 447,210.79/589.78
  6. Step 6: Final answer
    x = 758.27

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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.