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Finding the Fourth Proportional to 1,370.66, 1,892.39 and 1,055.33

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Solution

The fourth proportional to 1,370.66, 1,892.39 and 1,055.33 is: 1,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.66 : 1,892.39 = 1,055.33 : x
  2. Step 2: Convert to fraction form
    1,370.66/1,892.39 = 1,055.33/x
  3. Step 3: Cross multiply
    1,370.66x = 1,892.39 × 1,055.33
  4. Step 4: Simplify right side
    1,370.66x = 1,997,089.12
  5. Step 5: Solve for x
    x = 1,997,089.12/1,370.66
  6. Step 6: Final answer
    x = 1,457.03

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Why These Related Problems?

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