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Finding the Fourth Proportional to 1,238.73, 1,710.06 and 847.80

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Solution

The fourth proportional to 1,238.73, 1,710.06 and 847.80 is: 1,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.73 : 1,710.06 = 847.80 : x
  2. Step 2: Convert to fraction form
    1,238.73/1,710.06 = 847.80/x
  3. Step 3: Cross multiply
    1,238.73x = 1,710.06 × 847.80
  4. Step 4: Simplify right side
    1,238.73x = 1,449,788.87
  5. Step 5: Solve for x
    x = 1,449,788.87/1,238.73
  6. Step 6: Final answer
    x = 1,170.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.