Home / 1,029.20-1,543.62-379.94

Finding the Fourth Proportional to 1,029.20, 1,543.62 and 379.94

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Solution

The fourth proportional to 1,029.20, 1,543.62 and 379.94 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.20 : 1,543.62 = 379.94 : x
  2. Step 2: Convert to fraction form
    1,029.20/1,543.62 = 379.94/x
  3. Step 3: Cross multiply
    1,029.20x = 1,543.62 × 379.94
  4. Step 4: Simplify right side
    1,029.20x = 586,475.26
  5. Step 5: Solve for x
    x = 586,475.26/1,029.20
  6. Step 6: Final answer
    x = 569.84

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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.