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Finding the Fourth Proportional to 620.12, 854.30 and 433.28

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Solution

The fourth proportional to 620.12, 854.30 and 433.28 is: 596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.12 : 854.30 = 433.28 : x
  2. Step 2: Convert to fraction form
    620.12/854.30 = 433.28/x
  3. Step 3: Cross multiply
    620.12x = 854.30 × 433.28
  4. Step 4: Simplify right side
    620.12x = 370,144.67
  5. Step 5: Solve for x
    x = 370,144.67/620.12
  6. Step 6: Final answer
    x = 596.90

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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.