Home / 1,349.32-2,021.82-772.60

Finding the Fourth Proportional to 1,349.32, 2,021.82 and 772.60

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Solution

The fourth proportional to 1,349.32, 2,021.82 and 772.60 is: 1,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.32 : 2,021.82 = 772.60 : x
  2. Step 2: Convert to fraction form
    1,349.32/2,021.82 = 772.60/x
  3. Step 3: Cross multiply
    1,349.32x = 2,021.82 × 772.60
  4. Step 4: Simplify right side
    1,349.32x = 1,562,058.13
  5. Step 5: Solve for x
    x = 1,562,058.13/1,349.32
  6. Step 6: Final answer
    x = 1,157.66

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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.