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Finding the Fourth Proportional to 1,094.66, 1,640.30 and 538.73

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Solution

The fourth proportional to 1,094.66, 1,640.30 and 538.73 is: 807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.66 : 1,640.30 = 538.73 : x
  2. Step 2: Convert to fraction form
    1,094.66/1,640.30 = 538.73/x
  3. Step 3: Cross multiply
    1,094.66x = 1,640.30 × 538.73
  4. Step 4: Simplify right side
    1,094.66x = 883,667.92
  5. Step 5: Solve for x
    x = 883,667.92/1,094.66
  6. Step 6: Final answer
    x = 807.26

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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.