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Finding the Fourth Proportional to 619.94, 933.59 and 539.75

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Solution

The fourth proportional to 619.94, 933.59 and 539.75 is: 812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.94 : 933.59 = 539.75 : x
  2. Step 2: Convert to fraction form
    619.94/933.59 = 539.75/x
  3. Step 3: Cross multiply
    619.94x = 933.59 × 539.75
  4. Step 4: Simplify right side
    619.94x = 503,908.89
  5. Step 5: Solve for x
    x = 503,908.89/619.94
  6. Step 6: Final answer
    x = 812.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.