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Finding the Fourth Proportional to 675.25, 931.41 and 478.42

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Solution

The fourth proportional to 675.25, 931.41 and 478.42 is: 659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.25 : 931.41 = 478.42 : x
  2. Step 2: Convert to fraction form
    675.25/931.41 = 478.42/x
  3. Step 3: Cross multiply
    675.25x = 931.41 × 478.42
  4. Step 4: Simplify right side
    675.25x = 445,605.17
  5. Step 5: Solve for x
    x = 445,605.17/675.25
  6. Step 6: Final answer
    x = 659.91

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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.