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Finding the Fourth Proportional to 2,038.40, 3,057.28 and 577.68

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Solution

The fourth proportional to 2,038.40, 3,057.28 and 577.68 is: 866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.40 : 3,057.28 = 577.68 : x
  2. Step 2: Convert to fraction form
    2,038.40/3,057.28 = 577.68/x
  3. Step 3: Cross multiply
    2,038.40x = 3,057.28 × 577.68
  4. Step 4: Simplify right side
    2,038.40x = 1,766,129.51
  5. Step 5: Solve for x
    x = 1,766,129.51/2,038.40
  6. Step 6: Final answer
    x = 866.43

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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.