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Finding the Fourth Proportional to 1,055.45, 1,581.95 and 506.88

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Solution

The fourth proportional to 1,055.45, 1,581.95 and 506.88 is: 759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.45 : 1,581.95 = 506.88 : x
  2. Step 2: Convert to fraction form
    1,055.45/1,581.95 = 506.88/x
  3. Step 3: Cross multiply
    1,055.45x = 1,581.95 × 506.88
  4. Step 4: Simplify right side
    1,055.45x = 801,860.08
  5. Step 5: Solve for x
    x = 801,860.08/1,055.45
  6. Step 6: Final answer
    x = 759.73

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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.