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Finding the Fourth Proportional to 1,208.06, 1,813.70 and 715.37

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Solution

The fourth proportional to 1,208.06, 1,813.70 and 715.37 is: 1,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.06 : 1,813.70 = 715.37 : x
  2. Step 2: Convert to fraction form
    1,208.06/1,813.70 = 715.37/x
  3. Step 3: Cross multiply
    1,208.06x = 1,813.70 × 715.37
  4. Step 4: Simplify right side
    1,208.06x = 1,297,472.89
  5. Step 5: Solve for x
    x = 1,297,472.89/1,208.06
  6. Step 6: Final answer
    x = 1,074.02

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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.