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Finding the Fourth Proportional to 661.74, 993.73 and 551.94

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Solution

The fourth proportional to 661.74, 993.73 and 551.94 is: 828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.74 : 993.73 = 551.94 : x
  2. Step 2: Convert to fraction form
    661.74/993.73 = 551.94/x
  3. Step 3: Cross multiply
    661.74x = 993.73 × 551.94
  4. Step 4: Simplify right side
    661.74x = 548,479.34
  5. Step 5: Solve for x
    x = 548,479.34/661.74
  6. Step 6: Final answer
    x = 828.84

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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.