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Finding the Fourth Proportional to 1,083.40, 1,625.28 and 380.43

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Solution

The fourth proportional to 1,083.40, 1,625.28 and 380.43 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.40 : 1,625.28 = 380.43 : x
  2. Step 2: Convert to fraction form
    1,083.40/1,625.28 = 380.43/x
  3. Step 3: Cross multiply
    1,083.40x = 1,625.28 × 380.43
  4. Step 4: Simplify right side
    1,083.40x = 618,300.87
  5. Step 5: Solve for x
    x = 618,300.87/1,083.40
  6. Step 6: Final answer
    x = 570.70

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1.5x scale

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.