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Finding the Fourth Proportional to 757.77, 1,046.22 and 618.23

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Solution

The fourth proportional to 757.77, 1,046.22 and 618.23 is: 853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.77 : 1,046.22 = 618.23 : x
  2. Step 2: Convert to fraction form
    757.77/1,046.22 = 618.23/x
  3. Step 3: Cross multiply
    757.77x = 1,046.22 × 618.23
  4. Step 4: Simplify right side
    757.77x = 646,804.59
  5. Step 5: Solve for x
    x = 646,804.59/757.77
  6. Step 6: Final answer
    x = 853.56

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1.5x scale

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.