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Finding the Fourth Proportional to 931.35, 1,396.34 and 444.74

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Solution

The fourth proportional to 931.35, 1,396.34 and 444.74 is: 666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.35 : 1,396.34 = 444.74 : x
  2. Step 2: Convert to fraction form
    931.35/1,396.34 = 444.74/x
  3. Step 3: Cross multiply
    931.35x = 1,396.34 × 444.74
  4. Step 4: Simplify right side
    931.35x = 621,006.03
  5. Step 5: Solve for x
    x = 621,006.03/931.35
  6. Step 6: Final answer
    x = 666.78

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