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Finding the Fourth Proportional to 1,238.45, 1,856.39 and 508.55

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Solution

The fourth proportional to 1,238.45, 1,856.39 and 508.55 is: 762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.45 : 1,856.39 = 508.55 : x
  2. Step 2: Convert to fraction form
    1,238.45/1,856.39 = 508.55/x
  3. Step 3: Cross multiply
    1,238.45x = 1,856.39 × 508.55
  4. Step 4: Simplify right side
    1,238.45x = 944,055.31
  5. Step 5: Solve for x
    x = 944,055.31/1,238.45
  6. Step 6: Final answer
    x = 762.29

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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.