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Finding the Fourth Proportional to 1,205.42, 1,808.14 and 475.00

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Solution

The fourth proportional to 1,205.42, 1,808.14 and 475.00 is: 712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.42 : 1,808.14 = 475.00 : x
  2. Step 2: Convert to fraction form
    1,205.42/1,808.14 = 475.00/x
  3. Step 3: Cross multiply
    1,205.42x = 1,808.14 × 475.00
  4. Step 4: Simplify right side
    1,205.42x = 858,860.79
  5. Step 5: Solve for x
    x = 858,860.79/1,205.42
  6. Step 6: Final answer
    x = 712.50

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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.