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Finding the Fourth Proportional to 654.86, 981.29 and 552.35

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Solution

The fourth proportional to 654.86, 981.29 and 552.35 is: 827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 981.29 = 552.35 : x
  2. Step 2: Convert to fraction form
    654.86/981.29 = 552.35/x
  3. Step 3: Cross multiply
    654.86x = 981.29 × 552.35
  4. Step 4: Simplify right side
    654.86x = 542,019.37
  5. Step 5: Solve for x
    x = 542,019.37/654.86
  6. Step 6: Final answer
    x = 827.68

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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.