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Finding the Fourth Proportional to 2,038.43, 3,057.78 and 577.70

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Solution

The fourth proportional to 2,038.43, 3,057.78 and 577.70 is: 866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.43 : 3,057.78 = 577.70 : x
  2. Step 2: Convert to fraction form
    2,038.43/3,057.78 = 577.70/x
  3. Step 3: Cross multiply
    2,038.43x = 3,057.78 × 577.70
  4. Step 4: Simplify right side
    2,038.43x = 1,766,479.51
  5. Step 5: Solve for x
    x = 1,766,479.51/2,038.43
  6. Step 6: Final answer
    x = 866.59

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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.