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Finding the Fourth Proportional to 622.12, 933.02 and 313.64

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Solution

The fourth proportional to 622.12, 933.02 and 313.64 is: 470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.12 : 933.02 = 313.64 : x
  2. Step 2: Convert to fraction form
    622.12/933.02 = 313.64/x
  3. Step 3: Cross multiply
    622.12x = 933.02 × 313.64
  4. Step 4: Simplify right side
    622.12x = 292,632.39
  5. Step 5: Solve for x
    x = 292,632.39/622.12
  6. Step 6: Final answer
    x = 470.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.