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Finding the Fourth Proportional to 661.61, 993.54 and 551.81

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Solution

The fourth proportional to 661.61, 993.54 and 551.81 is: 828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.61 : 993.54 = 551.81 : x
  2. Step 2: Convert to fraction form
    661.61/993.54 = 551.81/x
  3. Step 3: Cross multiply
    661.61x = 993.54 × 551.81
  4. Step 4: Simplify right side
    661.61x = 548,245.31
  5. Step 5: Solve for x
    x = 548,245.31/661.61
  6. Step 6: Final answer
    x = 828.65

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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.