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Finding the Fourth Proportional to 620.60, 856.40 and 358.61

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Solution

The fourth proportional to 620.60, 856.40 and 358.61 is: 494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.60 : 856.40 = 358.61 : x
  2. Step 2: Convert to fraction form
    620.60/856.40 = 358.61/x
  3. Step 3: Cross multiply
    620.60x = 856.40 × 358.61
  4. Step 4: Simplify right side
    620.60x = 307,107.53
  5. Step 5: Solve for x
    x = 307,107.53/620.60
  6. Step 6: Final answer
    x = 494.86

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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.