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Finding the Fourth Proportional to 1,095.72, 1,512.09 and 623.61

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Solution

The fourth proportional to 1,095.72, 1,512.09 and 623.61 is: 860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.72 : 1,512.09 = 623.61 : x
  2. Step 2: Convert to fraction form
    1,095.72/1,512.09 = 623.61/x
  3. Step 3: Cross multiply
    1,095.72x = 1,512.09 × 623.61
  4. Step 4: Simplify right side
    1,095.72x = 942,954.44
  5. Step 5: Solve for x
    x = 942,954.44/1,095.72
  6. Step 6: Final answer
    x = 860.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.