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Finding the Fourth Proportional to 959.89, 1,438.90 and 310.18

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Solution

The fourth proportional to 959.89, 1,438.90 and 310.18 is: 464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.89 : 1,438.90 = 310.18 : x
  2. Step 2: Convert to fraction form
    959.89/1,438.90 = 310.18/x
  3. Step 3: Cross multiply
    959.89x = 1,438.90 × 310.18
  4. Step 4: Simplify right side
    959.89x = 446,318.00
  5. Step 5: Solve for x
    x = 446,318.00/959.89
  6. Step 6: Final answer
    x = 464.97

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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.