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Finding the Fourth Proportional to 645.84, 969.39 and 603

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Solution

The fourth proportional to 645.84, 969.39 and 603 is: 905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 969.39 = 603 : x
  2. Step 2: Convert to fraction form
    645.84/969.39 = 603/x
  3. Step 3: Cross multiply
    645.84x = 969.39 × 603
  4. Step 4: Simplify right side
    645.84x = 584,542.17
  5. Step 5: Solve for x
    x = 584,542.17/645.84
  6. Step 6: Final answer
    x = 905.09

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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.