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Finding the Fourth Proportional to 1,666.33, 2,299.53 and 910.11

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Solution

The fourth proportional to 1,666.33, 2,299.53 and 910.11 is: 1,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.33 : 2,299.53 = 910.11 : x
  2. Step 2: Convert to fraction form
    1,666.33/2,299.53 = 910.11/x
  3. Step 3: Cross multiply
    1,666.33x = 2,299.53 × 910.11
  4. Step 4: Simplify right side
    1,666.33x = 2,092,825.25
  5. Step 5: Solve for x
    x = 2,092,825.25/1,666.33
  6. Step 6: Final answer
    x = 1,255.95

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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.