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Finding the Fourth Proportional to 1,406.93, 2,110.48 and 541.24

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Solution

The fourth proportional to 1,406.93, 2,110.48 and 541.24 is: 811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.93 : 2,110.48 = 541.24 : x
  2. Step 2: Convert to fraction form
    1,406.93/2,110.48 = 541.24/x
  3. Step 3: Cross multiply
    1,406.93x = 2,110.48 × 541.24
  4. Step 4: Simplify right side
    1,406.93x = 1,142,276.87
  5. Step 5: Solve for x
    x = 1,142,276.87/1,406.93
  6. Step 6: Final answer
    x = 811.89

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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.