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Finding the Fourth Proportional to 1,330.36, 1,995.54 and 464.47

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Solution

The fourth proportional to 1,330.36, 1,995.54 and 464.47 is: 696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.36 : 1,995.54 = 464.47 : x
  2. Step 2: Convert to fraction form
    1,330.36/1,995.54 = 464.47/x
  3. Step 3: Cross multiply
    1,330.36x = 1,995.54 × 464.47
  4. Step 4: Simplify right side
    1,330.36x = 926,861.73
  5. Step 5: Solve for x
    x = 926,861.73/1,330.36
  6. Step 6: Final answer
    x = 696.70

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1.5x scale

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.