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Finding the Fourth Proportional to 620.68, 856.49 and 340.91

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Solution

The fourth proportional to 620.68, 856.49 and 340.91 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.68 : 856.49 = 340.91 : x
  2. Step 2: Convert to fraction form
    620.68/856.49 = 340.91/x
  3. Step 3: Cross multiply
    620.68x = 856.49 × 340.91
  4. Step 4: Simplify right side
    620.68x = 291,980.02
  5. Step 5: Solve for x
    x = 291,980.02/620.68
  6. Step 6: Final answer
    x = 470.42

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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.