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Finding the Fourth Proportional to 2,705.79, 4,058.66 and 856.90

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Solution

The fourth proportional to 2,705.79, 4,058.66 and 856.90 is: 1,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.79 : 4,058.66 = 856.90 : x
  2. Step 2: Convert to fraction form
    2,705.79/4,058.66 = 856.90/x
  3. Step 3: Cross multiply
    2,705.79x = 4,058.66 × 856.90
  4. Step 4: Simplify right side
    2,705.79x = 3,477,865.75
  5. Step 5: Solve for x
    x = 3,477,865.75/2,705.79
  6. Step 6: Final answer
    x = 1,285.34

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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.