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Finding the Fourth Proportional to 961.40, 1,440.89 and 412.94

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Solution

The fourth proportional to 961.40, 1,440.89 and 412.94 is: 618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.40 : 1,440.89 = 412.94 : x
  2. Step 2: Convert to fraction form
    961.40/1,440.89 = 412.94/x
  3. Step 3: Cross multiply
    961.40x = 1,440.89 × 412.94
  4. Step 4: Simplify right side
    961.40x = 595,001.12
  5. Step 5: Solve for x
    x = 595,001.12/961.40
  6. Step 6: Final answer
    x = 618.89

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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.