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Finding the Fourth Proportional to 1,406.69, 2,110.13 and 541

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Solution

The fourth proportional to 1,406.69, 2,110.13 and 541 is: 811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.69 : 2,110.13 = 541 : x
  2. Step 2: Convert to fraction form
    1,406.69/2,110.13 = 541/x
  3. Step 3: Cross multiply
    1,406.69x = 2,110.13 × 541
  4. Step 4: Simplify right side
    1,406.69x = 1,141,580.33
  5. Step 5: Solve for x
    x = 1,141,580.33/1,406.69
  6. Step 6: Final answer
    x = 811.54

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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.