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Finding the Fourth Proportional to 620.92, 856.40 and 410.73

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Solution

The fourth proportional to 620.92, 856.40 and 410.73 is: 566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.92 : 856.40 = 410.73 : x
  2. Step 2: Convert to fraction form
    620.92/856.40 = 410.73/x
  3. Step 3: Cross multiply
    620.92x = 856.40 × 410.73
  4. Step 4: Simplify right side
    620.92x = 351,749.17
  5. Step 5: Solve for x
    x = 351,749.17/620.92
  6. Step 6: Final answer
    x = 566.50

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Double scale
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Similar ratio
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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.