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Finding the Fourth Proportional to 967.18, 1,449.99 and 389.50

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Solution

The fourth proportional to 967.18, 1,449.99 and 389.50 is: 583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.18 : 1,449.99 = 389.50 : x
  2. Step 2: Convert to fraction form
    967.18/1,449.99 = 389.50/x
  3. Step 3: Cross multiply
    967.18x = 1,449.99 × 389.50
  4. Step 4: Simplify right side
    967.18x = 564,771.11
  5. Step 5: Solve for x
    x = 564,771.11/967.18
  6. Step 6: Final answer
    x = 583.94

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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.