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Finding the Fourth Proportional to 714.78, 984.78 and 669.42

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Solution

The fourth proportional to 714.78, 984.78 and 669.42 is: 922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.78 : 984.78 = 669.42 : x
  2. Step 2: Convert to fraction form
    714.78/984.78 = 669.42/x
  3. Step 3: Cross multiply
    714.78x = 984.78 × 669.42
  4. Step 4: Simplify right side
    714.78x = 659,231.43
  5. Step 5: Solve for x
    x = 659,231.43/714.78
  6. Step 6: Final answer
    x = 922.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.