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Finding the Fourth Proportional to 620.32, 856.16 and 423.76

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Solution

The fourth proportional to 620.32, 856.16 and 423.76 is: 584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.32 : 856.16 = 423.76 : x
  2. Step 2: Convert to fraction form
    620.32/856.16 = 423.76/x
  3. Step 3: Cross multiply
    620.32x = 856.16 × 423.76
  4. Step 4: Simplify right side
    620.32x = 362,806.36
  5. Step 5: Solve for x
    x = 362,806.36/620.32
  6. Step 6: Final answer
    x = 584.87

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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.