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Finding the Fourth Proportional to 1,619.16, 2,234.23 and 910.91

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Solution

The fourth proportional to 1,619.16, 2,234.23 and 910.91 is: 1,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.16 : 2,234.23 = 910.91 : x
  2. Step 2: Convert to fraction form
    1,619.16/2,234.23 = 910.91/x
  3. Step 3: Cross multiply
    1,619.16x = 2,234.23 × 910.91
  4. Step 4: Simplify right side
    1,619.16x = 2,035,177.89
  5. Step 5: Solve for x
    x = 2,035,177.89/1,619.16
  6. Step 6: Final answer
    x = 1,256.94

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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.