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Finding the Fourth Proportional to 470.93, 650.07 and 319.55

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Solution

The fourth proportional to 470.93, 650.07 and 319.55 is: 441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 650.07 = 319.55 : x
  2. Step 2: Convert to fraction form
    470.93/650.07 = 319.55/x
  3. Step 3: Cross multiply
    470.93x = 650.07 × 319.55
  4. Step 4: Simplify right side
    470.93x = 207,729.87
  5. Step 5: Solve for x
    x = 207,729.87/470.93
  6. Step 6: Final answer
    x = 441.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.