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Finding the Fourth Proportional to 772.61, 1,153.41 and 740.21

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Solution

The fourth proportional to 772.61, 1,153.41 and 740.21 is: 1,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.61 : 1,153.41 = 740.21 : x
  2. Step 2: Convert to fraction form
    772.61/1,153.41 = 740.21/x
  3. Step 3: Cross multiply
    772.61x = 1,153.41 × 740.21
  4. Step 4: Simplify right side
    772.61x = 853,757.07
  5. Step 5: Solve for x
    x = 853,757.07/772.61
  6. Step 6: Final answer
    x = 1,105.04

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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.