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Finding the Fourth Proportional to 824.16, 1,136.82 and 627.24

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Solution

The fourth proportional to 824.16, 1,136.82 and 627.24 is: 865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.16 : 1,136.82 = 627.24 : x
  2. Step 2: Convert to fraction form
    824.16/1,136.82 = 627.24/x
  3. Step 3: Cross multiply
    824.16x = 1,136.82 × 627.24
  4. Step 4: Simplify right side
    824.16x = 713,058.98
  5. Step 5: Solve for x
    x = 713,058.98/824.16
  6. Step 6: Final answer
    x = 865.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.