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Finding the Fourth Proportional to 1,202.49, 1,658.75 and 824.09

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Solution

The fourth proportional to 1,202.49, 1,658.75 and 824.09 is: 1,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.49 : 1,658.75 = 824.09 : x
  2. Step 2: Convert to fraction form
    1,202.49/1,658.75 = 824.09/x
  3. Step 3: Cross multiply
    1,202.49x = 1,658.75 × 824.09
  4. Step 4: Simplify right side
    1,202.49x = 1,366,946.87
  5. Step 5: Solve for x
    x = 1,366,946.87/1,202.49
  6. Step 6: Final answer
    x = 1,136.76

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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.