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Finding the Fourth Proportional to 1,234.03, 1,848.73 and 958.78

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Solution

The fourth proportional to 1,234.03, 1,848.73 and 958.78 is: 1,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.03 : 1,848.73 = 958.78 : x
  2. Step 2: Convert to fraction form
    1,234.03/1,848.73 = 958.78/x
  3. Step 3: Cross multiply
    1,234.03x = 1,848.73 × 958.78
  4. Step 4: Simplify right side
    1,234.03x = 1,772,525.35
  5. Step 5: Solve for x
    x = 1,772,525.35/1,234.03
  6. Step 6: Final answer
    x = 1,436.37

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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.