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Finding the Fourth Proportional to 1,619.46, 2,235.06 and 920.97

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Solution

The fourth proportional to 1,619.46, 2,235.06 and 920.97 is: 1,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.46 : 2,235.06 = 920.97 : x
  2. Step 2: Convert to fraction form
    1,619.46/2,235.06 = 920.97/x
  3. Step 3: Cross multiply
    1,619.46x = 2,235.06 × 920.97
  4. Step 4: Simplify right side
    1,619.46x = 2,058,423.21
  5. Step 5: Solve for x
    x = 2,058,423.21/1,619.46
  6. Step 6: Final answer
    x = 1,271.06

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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.