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Finding the Fourth Proportional to 654.90, 981.42 and 533.40

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Solution

The fourth proportional to 654.90, 981.42 and 533.40 is: 799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 981.42 = 533.40 : x
  2. Step 2: Convert to fraction form
    654.90/981.42 = 533.40/x
  3. Step 3: Cross multiply
    654.90x = 981.42 × 533.40
  4. Step 4: Simplify right side
    654.90x = 523,489.43
  5. Step 5: Solve for x
    x = 523,489.43/654.90
  6. Step 6: Final answer
    x = 799.34

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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.