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Finding the Fourth Proportional to 1,078.70, 1,615.24 and 749.15

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Solution

The fourth proportional to 1,078.70, 1,615.24 and 749.15 is: 1,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.70 : 1,615.24 = 749.15 : x
  2. Step 2: Convert to fraction form
    1,078.70/1,615.24 = 749.15/x
  3. Step 3: Cross multiply
    1,078.70x = 1,615.24 × 749.15
  4. Step 4: Simplify right side
    1,078.70x = 1,210,057.05
  5. Step 5: Solve for x
    x = 1,210,057.05/1,078.70
  6. Step 6: Final answer
    x = 1,121.77

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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.