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Finding the Fourth Proportional to 1,267.70, 1,902.46 and 618.89

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Solution

The fourth proportional to 1,267.70, 1,902.46 and 618.89 is: 928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.70 : 1,902.46 = 618.89 : x
  2. Step 2: Convert to fraction form
    1,267.70/1,902.46 = 618.89/x
  3. Step 3: Cross multiply
    1,267.70x = 1,902.46 × 618.89
  4. Step 4: Simplify right side
    1,267.70x = 1,177,416.01
  5. Step 5: Solve for x
    x = 1,177,416.01/1,267.70
  6. Step 6: Final answer
    x = 928.78

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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.