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Finding the Fourth Proportional to 1,299.78, 1,793.74 and 740.30

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Solution

The fourth proportional to 1,299.78, 1,793.74 and 740.30 is: 1,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.78 : 1,793.74 = 740.30 : x
  2. Step 2: Convert to fraction form
    1,299.78/1,793.74 = 740.30/x
  3. Step 3: Cross multiply
    1,299.78x = 1,793.74 × 740.30
  4. Step 4: Simplify right side
    1,299.78x = 1,327,905.72
  5. Step 5: Solve for x
    x = 1,327,905.72/1,299.78
  6. Step 6: Final answer
    x = 1,021.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.