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Finding the Fourth Proportional to 740.84, 1,110.54 and 302

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Solution

The fourth proportional to 740.84, 1,110.54 and 302 is: 452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.84 : 1,110.54 = 302 : x
  2. Step 2: Convert to fraction form
    740.84/1,110.54 = 302/x
  3. Step 3: Cross multiply
    740.84x = 1,110.54 × 302
  4. Step 4: Simplify right side
    740.84x = 335,383.08
  5. Step 5: Solve for x
    x = 335,383.08/740.84
  6. Step 6: Final answer
    x = 452.71

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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.