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Finding the Fourth Proportional to 1,259.46, 1,736.44 and 922.30

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Solution

The fourth proportional to 1,259.46, 1,736.44 and 922.30 is: 1,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.46 : 1,736.44 = 922.30 : x
  2. Step 2: Convert to fraction form
    1,259.46/1,736.44 = 922.30/x
  3. Step 3: Cross multiply
    1,259.46x = 1,736.44 × 922.30
  4. Step 4: Simplify right side
    1,259.46x = 1,601,520.24
  5. Step 5: Solve for x
    x = 1,601,520.24/1,259.46
  6. Step 6: Final answer
    x = 1,271.59

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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.