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Finding the Fourth Proportional to 1,094.30, 1,640.01 and 444.68

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Solution

The fourth proportional to 1,094.30, 1,640.01 and 444.68 is: 666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.30 : 1,640.01 = 444.68 : x
  2. Step 2: Convert to fraction form
    1,094.30/1,640.01 = 444.68/x
  3. Step 3: Cross multiply
    1,094.30x = 1,640.01 × 444.68
  4. Step 4: Simplify right side
    1,094.30x = 729,275.93
  5. Step 5: Solve for x
    x = 729,275.93/1,094.30
  6. Step 6: Final answer
    x = 666.43

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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.