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Finding the Fourth Proportional to 666.78, 1,002.17 and 551.96

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Solution

The fourth proportional to 666.78, 1,002.17 and 551.96 is: 829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.78 : 1,002.17 = 551.96 : x
  2. Step 2: Convert to fraction form
    666.78/1,002.17 = 551.96/x
  3. Step 3: Cross multiply
    666.78x = 1,002.17 × 551.96
  4. Step 4: Simplify right side
    666.78x = 553,157.75
  5. Step 5: Solve for x
    x = 553,157.75/666.78
  6. Step 6: Final answer
    x = 829.60

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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.