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Finding the Fourth Proportional to 1,137.56, 1,705.28 and 444.69

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Solution

The fourth proportional to 1,137.56, 1,705.28 and 444.69 is: 666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.56 : 1,705.28 = 444.69 : x
  2. Step 2: Convert to fraction form
    1,137.56/1,705.28 = 444.69/x
  3. Step 3: Cross multiply
    1,137.56x = 1,705.28 × 444.69
  4. Step 4: Simplify right side
    1,137.56x = 758,318.74
  5. Step 5: Solve for x
    x = 758,318.74/1,137.56
  6. Step 6: Final answer
    x = 666.62

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Why These Related Problems?

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