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Finding the Fourth Proportional to 772.20, 1,152.63 and 723.60

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Solution

The fourth proportional to 772.20, 1,152.63 and 723.60 is: 1,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.20 : 1,152.63 = 723.60 : x
  2. Step 2: Convert to fraction form
    772.20/1,152.63 = 723.60/x
  3. Step 3: Cross multiply
    772.20x = 1,152.63 × 723.60
  4. Step 4: Simplify right side
    772.20x = 834,043.07
  5. Step 5: Solve for x
    x = 834,043.07/772.20
  6. Step 6: Final answer
    x = 1,080.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.