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Finding the Fourth Proportional to 964.90, 1,445.41 and 444.18

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Solution

The fourth proportional to 964.90, 1,445.41 and 444.18 is: 665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.90 : 1,445.41 = 444.18 : x
  2. Step 2: Convert to fraction form
    964.90/1,445.41 = 444.18/x
  3. Step 3: Cross multiply
    964.90x = 1,445.41 × 444.18
  4. Step 4: Simplify right side
    964.90x = 642,017.35
  5. Step 5: Solve for x
    x = 642,017.35/964.90
  6. Step 6: Final answer
    x = 665.37

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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.