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Finding the Fourth Proportional to 967.02, 1,450.50 and 642.30

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Solution

The fourth proportional to 967.02, 1,450.50 and 642.30 is: 963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.02 : 1,450.50 = 642.30 : x
  2. Step 2: Convert to fraction form
    967.02/1,450.50 = 642.30/x
  3. Step 3: Cross multiply
    967.02x = 1,450.50 × 642.30
  4. Step 4: Simplify right side
    967.02x = 931,656.15
  5. Step 5: Solve for x
    x = 931,656.15/967.02
  6. Step 6: Final answer
    x = 963.43

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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.