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Finding the Fourth Proportional to 966.52, 1,450.56 and 389.80

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Solution

The fourth proportional to 966.52, 1,450.56 and 389.80 is: 585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.52 : 1,450.56 = 389.80 : x
  2. Step 2: Convert to fraction form
    966.52/1,450.56 = 389.80/x
  3. Step 3: Cross multiply
    966.52x = 1,450.56 × 389.80
  4. Step 4: Simplify right side
    966.52x = 565,428.29
  5. Step 5: Solve for x
    x = 565,428.29/966.52
  6. Step 6: Final answer
    x = 585.01

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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.