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Finding the Fourth Proportional to 806.95, 1,114.23 and 620.16

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Solution

The fourth proportional to 806.95, 1,114.23 and 620.16 is: 856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.95 : 1,114.23 = 620.16 : x
  2. Step 2: Convert to fraction form
    806.95/1,114.23 = 620.16/x
  3. Step 3: Cross multiply
    806.95x = 1,114.23 × 620.16
  4. Step 4: Simplify right side
    806.95x = 691,000.88
  5. Step 5: Solve for x
    x = 691,000.88/806.95
  6. Step 6: Final answer
    x = 856.31

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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.