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Finding the Fourth Proportional to 2,653.70, 3,980.66 and 705.92

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Solution

The fourth proportional to 2,653.70, 3,980.66 and 705.92 is: 1,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.70 : 3,980.66 = 705.92 : x
  2. Step 2: Convert to fraction form
    2,653.70/3,980.66 = 705.92/x
  3. Step 3: Cross multiply
    2,653.70x = 3,980.66 × 705.92
  4. Step 4: Simplify right side
    2,653.70x = 2,810,004.07
  5. Step 5: Solve for x
    x = 2,810,004.07/2,653.70
  6. Step 6: Final answer
    x = 1,058.90

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1.5x scale

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.