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Finding the Fourth Proportional to 620.60, 856.41 and 340.83

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Solution

The fourth proportional to 620.60, 856.41 and 340.83 is: 470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.60 : 856.41 = 340.83 : x
  2. Step 2: Convert to fraction form
    620.60/856.41 = 340.83/x
  3. Step 3: Cross multiply
    620.60x = 856.41 × 340.83
  4. Step 4: Simplify right side
    620.60x = 291,890.22
  5. Step 5: Solve for x
    x = 291,890.22/620.60
  6. Step 6: Final answer
    x = 470.34

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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.