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Finding the Fourth Proportional to 817.74, 1,224.72 and 643.19

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Solution

The fourth proportional to 817.74, 1,224.72 and 643.19 is: 963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.74 : 1,224.72 = 643.19 : x
  2. Step 2: Convert to fraction form
    817.74/1,224.72 = 643.19/x
  3. Step 3: Cross multiply
    817.74x = 1,224.72 × 643.19
  4. Step 4: Simplify right side
    817.74x = 787,721.53
  5. Step 5: Solve for x
    x = 787,721.53/817.74
  6. Step 6: Final answer
    x = 963.29

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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.