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Finding the Fourth Proportional to 620.58, 856.46 and 411.20

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Solution

The fourth proportional to 620.58, 856.46 and 411.20 is: 567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.58 : 856.46 = 411.20 : x
  2. Step 2: Convert to fraction form
    620.58/856.46 = 411.20/x
  3. Step 3: Cross multiply
    620.58x = 856.46 × 411.20
  4. Step 4: Simplify right side
    620.58x = 352,170.01
  5. Step 5: Solve for x
    x = 352,170.01/620.58
  6. Step 6: Final answer
    x = 567.49

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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.