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Finding the Fourth Proportional to 1,234.38, 1,852.29 and 618.06

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Solution

The fourth proportional to 1,234.38, 1,852.29 and 618.06 is: 927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.38 : 1,852.29 = 618.06 : x
  2. Step 2: Convert to fraction form
    1,234.38/1,852.29 = 618.06/x
  3. Step 3: Cross multiply
    1,234.38x = 1,852.29 × 618.06
  4. Step 4: Simplify right side
    1,234.38x = 1,144,826.36
  5. Step 5: Solve for x
    x = 1,144,826.36/1,234.38
  6. Step 6: Final answer
    x = 927.45

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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.