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Finding the Fourth Proportional to 654.32, 981.84 and 558.56

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Solution

The fourth proportional to 654.32, 981.84 and 558.56 is: 838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.32 : 981.84 = 558.56 : x
  2. Step 2: Convert to fraction form
    654.32/981.84 = 558.56/x
  3. Step 3: Cross multiply
    654.32x = 981.84 × 558.56
  4. Step 4: Simplify right side
    654.32x = 548,416.55
  5. Step 5: Solve for x
    x = 548,416.55/654.32
  6. Step 6: Final answer
    x = 838.15

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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.