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Finding the Fourth Proportional to 620.83, 856.33 and 400.06

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Solution

The fourth proportional to 620.83, 856.33 and 400.06 is: 551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.83 : 856.33 = 400.06 : x
  2. Step 2: Convert to fraction form
    620.83/856.33 = 400.06/x
  3. Step 3: Cross multiply
    620.83x = 856.33 × 400.06
  4. Step 4: Simplify right side
    620.83x = 342,583.38
  5. Step 5: Solve for x
    x = 342,583.38/620.83
  6. Step 6: Final answer
    x = 551.82

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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.