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Finding the Fourth Proportional to 1,205.42, 1,808.36 and 512.08

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Solution

The fourth proportional to 1,205.42, 1,808.36 and 512.08 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.42 : 1,808.36 = 512.08 : x
  2. Step 2: Convert to fraction form
    1,205.42/1,808.36 = 512.08/x
  3. Step 3: Cross multiply
    1,205.42x = 1,808.36 × 512.08
  4. Step 4: Simplify right side
    1,205.42x = 926,019.83
  5. Step 5: Solve for x
    x = 926,019.83/1,205.42
  6. Step 6: Final answer
    x = 768.22

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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.