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Finding the Fourth Proportional to 1,238.90, 1,858.41 and 545.89

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Solution

The fourth proportional to 1,238.90, 1,858.41 and 545.89 is: 818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.90 : 1,858.41 = 545.89 : x
  2. Step 2: Convert to fraction form
    1,238.90/1,858.41 = 545.89/x
  3. Step 3: Cross multiply
    1,238.90x = 1,858.41 × 545.89
  4. Step 4: Simplify right side
    1,238.90x = 1,014,478.14
  5. Step 5: Solve for x
    x = 1,014,478.14/1,238.90
  6. Step 6: Final answer
    x = 818.86

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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.