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Finding the Fourth Proportional to 1,336.36, 2,002.77 and 967.40

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Solution

The fourth proportional to 1,336.36, 2,002.77 and 967.40 is: 1,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.36 : 2,002.77 = 967.40 : x
  2. Step 2: Convert to fraction form
    1,336.36/2,002.77 = 967.40/x
  3. Step 3: Cross multiply
    1,336.36x = 2,002.77 × 967.40
  4. Step 4: Simplify right side
    1,336.36x = 1,937,475.74
  5. Step 5: Solve for x
    x = 1,937,475.74/1,336.36
  6. Step 6: Final answer
    x = 1,449.82

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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.