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Finding the Fourth Proportional to 1,490.11, 2,055.80 and 900.43

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Solution

The fourth proportional to 1,490.11, 2,055.80 and 900.43 is: 1,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.11 : 2,055.80 = 900.43 : x
  2. Step 2: Convert to fraction form
    1,490.11/2,055.80 = 900.43/x
  3. Step 3: Cross multiply
    1,490.11x = 2,055.80 × 900.43
  4. Step 4: Simplify right side
    1,490.11x = 1,851,101.11
  5. Step 5: Solve for x
    x = 1,851,101.11/1,490.11
  6. Step 6: Final answer
    x = 1,242.26

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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.