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Finding the Fourth Proportional to 741.45, 1,111.40 and 278.91

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Solution

The fourth proportional to 741.45, 1,111.40 and 278.91 is: 418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.45 : 1,111.40 = 278.91 : x
  2. Step 2: Convert to fraction form
    741.45/1,111.40 = 278.91/x
  3. Step 3: Cross multiply
    741.45x = 1,111.40 × 278.91
  4. Step 4: Simplify right side
    741.45x = 309,981.27
  5. Step 5: Solve for x
    x = 309,981.27/741.45
  6. Step 6: Final answer
    x = 418.07

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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.