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Finding the Fourth Proportional to 959.67, 1,440.25 and 412.25

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Solution

The fourth proportional to 959.67, 1,440.25 and 412.25 is: 618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.67 : 1,440.25 = 412.25 : x
  2. Step 2: Convert to fraction form
    959.67/1,440.25 = 412.25/x
  3. Step 3: Cross multiply
    959.67x = 1,440.25 × 412.25
  4. Step 4: Simplify right side
    959.67x = 593,734.83
  5. Step 5: Solve for x
    x = 593,734.83/959.67
  6. Step 6: Final answer
    x = 618.69

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Double scale
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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.