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Finding the Fourth Proportional to 603.82, 901.46 and 517.18

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Solution

The fourth proportional to 603.82, 901.46 and 517.18 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 901.46 = 517.18 : x
  2. Step 2: Convert to fraction form
    603.82/901.46 = 517.18/x
  3. Step 3: Cross multiply
    603.82x = 901.46 × 517.18
  4. Step 4: Simplify right side
    603.82x = 466,217.08
  5. Step 5: Solve for x
    x = 466,217.08/603.82
  6. Step 6: Final answer
    x = 772.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.