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Finding the Fourth Proportional to 1,666.06, 2,299.13 and 920.00

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Solution

The fourth proportional to 1,666.06, 2,299.13 and 920.00 is: 1,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.06 : 2,299.13 = 920.00 : x
  2. Step 2: Convert to fraction form
    1,666.06/2,299.13 = 920.00/x
  3. Step 3: Cross multiply
    1,666.06x = 2,299.13 × 920.00
  4. Step 4: Simplify right side
    1,666.06x = 2,115,202.91
  5. Step 5: Solve for x
    x = 2,115,202.91/1,666.06
  6. Step 6: Final answer
    x = 1,269.58

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