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Finding the Fourth Proportional to 1,268.82, 1,901.16 and 618.24

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Solution

The fourth proportional to 1,268.82, 1,901.16 and 618.24 is: 926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.82 : 1,901.16 = 618.24 : x
  2. Step 2: Convert to fraction form
    1,268.82/1,901.16 = 618.24/x
  3. Step 3: Cross multiply
    1,268.82x = 1,901.16 × 618.24
  4. Step 4: Simplify right side
    1,268.82x = 1,175,373.16
  5. Step 5: Solve for x
    x = 1,175,373.16/1,268.82
  6. Step 6: Final answer
    x = 926.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.