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Finding the Fourth Proportional to 809.63, 1,213.69 and 296.51

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Solution

The fourth proportional to 809.63, 1,213.69 and 296.51 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.63 : 1,213.69 = 296.51 : x
  2. Step 2: Convert to fraction form
    809.63/1,213.69 = 296.51/x
  3. Step 3: Cross multiply
    809.63x = 1,213.69 × 296.51
  4. Step 4: Simplify right side
    809.63x = 359,869.74
  5. Step 5: Solve for x
    x = 359,869.74/809.63
  6. Step 6: Final answer
    x = 444.49

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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.