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Finding the Fourth Proportional to 958.64, 1,438.12 and 309.24

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Solution

The fourth proportional to 958.64, 1,438.12 and 309.24 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.64 : 1,438.12 = 309.24 : x
  2. Step 2: Convert to fraction form
    958.64/1,438.12 = 309.24/x
  3. Step 3: Cross multiply
    958.64x = 1,438.12 × 309.24
  4. Step 4: Simplify right side
    958.64x = 444,724.23
  5. Step 5: Solve for x
    x = 444,724.23/958.64
  6. Step 6: Final answer
    x = 463.91

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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.