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Finding the Fourth Proportional to 1,305.29, 1,955.74 and 646.29

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Solution

The fourth proportional to 1,305.29, 1,955.74 and 646.29 is: 968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.29 : 1,955.74 = 646.29 : x
  2. Step 2: Convert to fraction form
    1,305.29/1,955.74 = 646.29/x
  3. Step 3: Cross multiply
    1,305.29x = 1,955.74 × 646.29
  4. Step 4: Simplify right side
    1,305.29x = 1,263,974.80
  5. Step 5: Solve for x
    x = 1,263,974.80/1,305.29
  6. Step 6: Final answer
    x = 968.35

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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.