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Finding the Fourth Proportional to 1,407.27, 2,111.51 and 541.38

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Solution

The fourth proportional to 1,407.27, 2,111.51 and 541.38 is: 812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.27 : 2,111.51 = 541.38 : x
  2. Step 2: Convert to fraction form
    1,407.27/2,111.51 = 541.38/x
  3. Step 3: Cross multiply
    1,407.27x = 2,111.51 × 541.38
  4. Step 4: Simplify right side
    1,407.27x = 1,143,129.28
  5. Step 5: Solve for x
    x = 1,143,129.28/1,407.27
  6. Step 6: Final answer
    x = 812.30

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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.