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Finding the Fourth Proportional to 1,029.72, 1,543.30 and 444.04

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Solution

The fourth proportional to 1,029.72, 1,543.30 and 444.04 is: 665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.72 : 1,543.30 = 444.04 : x
  2. Step 2: Convert to fraction form
    1,029.72/1,543.30 = 444.04/x
  3. Step 3: Cross multiply
    1,029.72x = 1,543.30 × 444.04
  4. Step 4: Simplify right side
    1,029.72x = 685,286.93
  5. Step 5: Solve for x
    x = 685,286.93/1,029.72
  6. Step 6: Final answer
    x = 665.51

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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.