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Finding the Fourth Proportional to 856.33, 1,180.59 and 620.62

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Solution

The fourth proportional to 856.33, 1,180.59 and 620.62 is: 855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.33 : 1,180.59 = 620.62 : x
  2. Step 2: Convert to fraction form
    856.33/1,180.59 = 620.62/x
  3. Step 3: Cross multiply
    856.33x = 1,180.59 × 620.62
  4. Step 4: Simplify right side
    856.33x = 732,697.77
  5. Step 5: Solve for x
    x = 732,697.77/856.33
  6. Step 6: Final answer
    x = 855.63

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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.