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Finding the Fourth Proportional to 2,444.04, 3,666.08 and 800.72

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Solution

The fourth proportional to 2,444.04, 3,666.08 and 800.72 is: 1,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.04 : 3,666.08 = 800.72 : x
  2. Step 2: Convert to fraction form
    2,444.04/3,666.08 = 800.72/x
  3. Step 3: Cross multiply
    2,444.04x = 3,666.08 × 800.72
  4. Step 4: Simplify right side
    2,444.04x = 2,935,503.58
  5. Step 5: Solve for x
    x = 2,935,503.58/2,444.04
  6. Step 6: Final answer
    x = 1,201.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.