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Finding the Fourth Proportional to 963.42, 1,445.13 and 744.36

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Solution

The fourth proportional to 963.42, 1,445.13 and 744.36 is: 1,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.42 : 1,445.13 = 744.36 : x
  2. Step 2: Convert to fraction form
    963.42/1,445.13 = 744.36/x
  3. Step 3: Cross multiply
    963.42x = 1,445.13 × 744.36
  4. Step 4: Simplify right side
    963.42x = 1,075,698.72
  5. Step 5: Solve for x
    x = 1,075,698.72/963.42
  6. Step 6: Final answer
    x = 1,116.54

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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.