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Finding the Fourth Proportional to 711.50, 982.34 and 446.04

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Solution

The fourth proportional to 711.50, 982.34 and 446.04 is: 615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.50 : 982.34 = 446.04 : x
  2. Step 2: Convert to fraction form
    711.50/982.34 = 446.04/x
  3. Step 3: Cross multiply
    711.50x = 982.34 × 446.04
  4. Step 4: Simplify right side
    711.50x = 438,164.05
  5. Step 5: Solve for x
    x = 438,164.05/711.50
  6. Step 6: Final answer
    x = 615.84

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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.