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Finding the Fourth Proportional to 965.23, 1,445.90 and 444.50

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Solution

The fourth proportional to 965.23, 1,445.90 and 444.50 is: 665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.23 : 1,445.90 = 444.50 : x
  2. Step 2: Convert to fraction form
    965.23/1,445.90 = 444.50/x
  3. Step 3: Cross multiply
    965.23x = 1,445.90 × 444.50
  4. Step 4: Simplify right side
    965.23x = 642,707.28
  5. Step 5: Solve for x
    x = 642,707.28/965.23
  6. Step 6: Final answer
    x = 665.86

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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.