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Finding the Fourth Proportional to 1,085.93, 1,628.72 and 305.86

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Solution

The fourth proportional to 1,085.93, 1,628.72 and 305.86 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.93 : 1,628.72 = 305.86 : x
  2. Step 2: Convert to fraction form
    1,085.93/1,628.72 = 305.86/x
  3. Step 3: Cross multiply
    1,085.93x = 1,628.72 × 305.86
  4. Step 4: Simplify right side
    1,085.93x = 498,160.30
  5. Step 5: Solve for x
    x = 498,160.30/1,085.93
  6. Step 6: Final answer
    x = 458.74

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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.