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Finding the Fourth Proportional to 784.80, 1,085.60 and 731.61

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Solution

The fourth proportional to 784.80, 1,085.60 and 731.61 is: 1,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.80 : 1,085.60 = 731.61 : x
  2. Step 2: Convert to fraction form
    784.80/1,085.60 = 731.61/x
  3. Step 3: Cross multiply
    784.80x = 1,085.60 × 731.61
  4. Step 4: Simplify right side
    784.80x = 794,237.65
  5. Step 5: Solve for x
    x = 794,237.65/784.80
  6. Step 6: Final answer
    x = 1,012.03

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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.