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Finding the Fourth Proportional to 1,266.05, 1,746.16 and 824.09

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Solution

The fourth proportional to 1,266.05, 1,746.16 and 824.09 is: 1,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.05 : 1,746.16 = 824.09 : x
  2. Step 2: Convert to fraction form
    1,266.05/1,746.16 = 824.09/x
  3. Step 3: Cross multiply
    1,266.05x = 1,746.16 × 824.09
  4. Step 4: Simplify right side
    1,266.05x = 1,438,992.99
  5. Step 5: Solve for x
    x = 1,438,992.99/1,266.05
  6. Step 6: Final answer
    x = 1,136.60

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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.