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Finding the Fourth Proportional to 1,311.45, 1,962.91 and 964.70

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Solution

The fourth proportional to 1,311.45, 1,962.91 and 964.70 is: 1,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.45 : 1,962.91 = 964.70 : x
  2. Step 2: Convert to fraction form
    1,311.45/1,962.91 = 964.70/x
  3. Step 3: Cross multiply
    1,311.45x = 1,962.91 × 964.70
  4. Step 4: Simplify right side
    1,311.45x = 1,893,619.28
  5. Step 5: Solve for x
    x = 1,893,619.28/1,311.45
  6. Step 6: Final answer
    x = 1,443.91

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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.