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Finding the Fourth Proportional to 741.86, 1,111.93 and 389.51

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Solution

The fourth proportional to 741.86, 1,111.93 and 389.51 is: 583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.86 : 1,111.93 = 389.51 : x
  2. Step 2: Convert to fraction form
    741.86/1,111.93 = 389.51/x
  3. Step 3: Cross multiply
    741.86x = 1,111.93 × 389.51
  4. Step 4: Simplify right side
    741.86x = 433,105.49
  5. Step 5: Solve for x
    x = 433,105.49/741.86
  6. Step 6: Final answer
    x = 583.81

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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.