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Finding the Fourth Proportional to 963.50, 1,443.42 and 599.00

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Solution

The fourth proportional to 963.50, 1,443.42 and 599.00 is: 897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.50 : 1,443.42 = 599.00 : x
  2. Step 2: Convert to fraction form
    963.50/1,443.42 = 599.00/x
  3. Step 3: Cross multiply
    963.50x = 1,443.42 × 599.00
  4. Step 4: Simplify right side
    963.50x = 864,601.36
  5. Step 5: Solve for x
    x = 864,601.36/963.50
  6. Step 6: Final answer
    x = 897.36

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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.