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Finding the Fourth Proportional to 784.26, 1,081.83 and 485.63

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Solution

The fourth proportional to 784.26, 1,081.83 and 485.63 is: 669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.26 : 1,081.83 = 485.63 : x
  2. Step 2: Convert to fraction form
    784.26/1,081.83 = 485.63/x
  3. Step 3: Cross multiply
    784.26x = 1,081.83 × 485.63
  4. Step 4: Simplify right side
    784.26x = 525,363.69
  5. Step 5: Solve for x
    x = 525,363.69/784.26
  6. Step 6: Final answer
    x = 669.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.