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Finding the Fourth Proportional to 1,405.42, 2,106.84 and 539.56

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Solution

The fourth proportional to 1,405.42, 2,106.84 and 539.56 is: 808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.42 : 2,106.84 = 539.56 : x
  2. Step 2: Convert to fraction form
    1,405.42/2,106.84 = 539.56/x
  3. Step 3: Cross multiply
    1,405.42x = 2,106.84 × 539.56
  4. Step 4: Simplify right side
    1,405.42x = 1,136,766.59
  5. Step 5: Solve for x
    x = 1,136,766.59/1,405.42
  6. Step 6: Final answer
    x = 808.84

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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.