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Finding the Fourth Proportional to 1,646.46, 2,272.05 and 948.06

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Solution

The fourth proportional to 1,646.46, 2,272.05 and 948.06 is: 1,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.46 : 2,272.05 = 948.06 : x
  2. Step 2: Convert to fraction form
    1,646.46/2,272.05 = 948.06/x
  3. Step 3: Cross multiply
    1,646.46x = 2,272.05 × 948.06
  4. Step 4: Simplify right side
    1,646.46x = 2,154,039.72
  5. Step 5: Solve for x
    x = 2,154,039.72/1,646.46
  6. Step 6: Final answer
    x = 1,308.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.