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Finding the Fourth Proportional to 1,252.33, 1,726.52 and 1,055.50

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Solution

The fourth proportional to 1,252.33, 1,726.52 and 1,055.50 is: 1,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.33 : 1,726.52 = 1,055.50 : x
  2. Step 2: Convert to fraction form
    1,252.33/1,726.52 = 1,055.50/x
  3. Step 3: Cross multiply
    1,252.33x = 1,726.52 × 1,055.50
  4. Step 4: Simplify right side
    1,252.33x = 1,822,343.54
  5. Step 5: Solve for x
    x = 1,822,343.54/1,252.33
  6. Step 6: Final answer
    x = 1,455.16

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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.