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Finding the Fourth Proportional to 741.14, 1,111.70 and 302.29

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Solution

The fourth proportional to 741.14, 1,111.70 and 302.29 is: 453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.14 : 1,111.70 = 302.29 : x
  2. Step 2: Convert to fraction form
    741.14/1,111.70 = 302.29/x
  3. Step 3: Cross multiply
    741.14x = 1,111.70 × 302.29
  4. Step 4: Simplify right side
    741.14x = 336,050.23
  5. Step 5: Solve for x
    x = 336,050.23/741.14
  6. Step 6: Final answer
    x = 453.42

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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.