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Finding the Fourth Proportional to 1,054.05, 1,581.22 and 505.78

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Solution

The fourth proportional to 1,054.05, 1,581.22 and 505.78 is: 758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.05 : 1,581.22 = 505.78 : x
  2. Step 2: Convert to fraction form
    1,054.05/1,581.22 = 505.78/x
  3. Step 3: Cross multiply
    1,054.05x = 1,581.22 × 505.78
  4. Step 4: Simplify right side
    1,054.05x = 799,746.13
  5. Step 5: Solve for x
    x = 799,746.13/1,054.05
  6. Step 6: Final answer
    x = 758.74

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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.