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Finding the Fourth Proportional to 1,320.11, 1,978.28 and 741.77

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Solution

The fourth proportional to 1,320.11, 1,978.28 and 741.77 is: 1,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.11 : 1,978.28 = 741.77 : x
  2. Step 2: Convert to fraction form
    1,320.11/1,978.28 = 741.77/x
  3. Step 3: Cross multiply
    1,320.11x = 1,978.28 × 741.77
  4. Step 4: Simplify right side
    1,320.11x = 1,467,425.05
  5. Step 5: Solve for x
    x = 1,467,425.05/1,320.11
  6. Step 6: Final answer
    x = 1,111.59

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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.