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Finding the Fourth Proportional to 654.17, 981.26 and 365.27

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Solution

The fourth proportional to 654.17, 981.26 and 365.27 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.17 : 981.26 = 365.27 : x
  2. Step 2: Convert to fraction form
    654.17/981.26 = 365.27/x
  3. Step 3: Cross multiply
    654.17x = 981.26 × 365.27
  4. Step 4: Simplify right side
    654.17x = 358,423.01
  5. Step 5: Solve for x
    x = 358,423.01/654.17
  6. Step 6: Final answer
    x = 547.91

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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.