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Finding the Fourth Proportional to 1,255.74, 1,883.82 and 390

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Solution

The fourth proportional to 1,255.74, 1,883.82 and 390 is: 585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.74 : 1,883.82 = 390 : x
  2. Step 2: Convert to fraction form
    1,255.74/1,883.82 = 390/x
  3. Step 3: Cross multiply
    1,255.74x = 1,883.82 × 390
  4. Step 4: Simplify right side
    1,255.74x = 734,689.80
  5. Step 5: Solve for x
    x = 734,689.80/1,255.74
  6. Step 6: Final answer
    x = 585.07

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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.