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Finding the Fourth Proportional to 619.12, 933.32 and 523.60

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Solution

The fourth proportional to 619.12, 933.32 and 523.60 is: 789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.12 : 933.32 = 523.60 : x
  2. Step 2: Convert to fraction form
    619.12/933.32 = 523.60/x
  3. Step 3: Cross multiply
    619.12x = 933.32 × 523.60
  4. Step 4: Simplify right side
    619.12x = 488,686.35
  5. Step 5: Solve for x
    x = 488,686.35/619.12
  6. Step 6: Final answer
    x = 789.32

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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.