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Finding the Fourth Proportional to 966.00, 1,448.14 and 619.43

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Solution

The fourth proportional to 966.00, 1,448.14 and 619.43 is: 928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.00 : 1,448.14 = 619.43 : x
  2. Step 2: Convert to fraction form
    966.00/1,448.14 = 619.43/x
  3. Step 3: Cross multiply
    966.00x = 1,448.14 × 619.43
  4. Step 4: Simplify right side
    966.00x = 897,028.86
  5. Step 5: Solve for x
    x = 897,028.86/966.00
  6. Step 6: Final answer
    x = 928.60

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Why These Related Problems?

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