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Finding the Fourth Proportional to 2,038.85, 3,058.09 and 577.97

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Solution

The fourth proportional to 2,038.85, 3,058.09 and 577.97 is: 866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.85 : 3,058.09 = 577.97 : x
  2. Step 2: Convert to fraction form
    2,038.85/3,058.09 = 577.97/x
  3. Step 3: Cross multiply
    2,038.85x = 3,058.09 × 577.97
  4. Step 4: Simplify right side
    2,038.85x = 1,767,484.28
  5. Step 5: Solve for x
    x = 1,767,484.28/2,038.85
  6. Step 6: Final answer
    x = 866.90

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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.