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Finding the Fourth Proportional to 1,344.45, 1,856.00 and 847.85

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Solution

The fourth proportional to 1,344.45, 1,856.00 and 847.85 is: 1,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.45 : 1,856.00 = 847.85 : x
  2. Step 2: Convert to fraction form
    1,344.45/1,856.00 = 847.85/x
  3. Step 3: Cross multiply
    1,344.45x = 1,856.00 × 847.85
  4. Step 4: Simplify right side
    1,344.45x = 1,573,616.36
  5. Step 5: Solve for x
    x = 1,573,616.36/1,344.45
  6. Step 6: Final answer
    x = 1,170.45

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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.