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Finding the Fourth Proportional to 1,330.73, 1,993.66 and 964.61

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Solution

The fourth proportional to 1,330.73, 1,993.66 and 964.61 is: 1,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.73 : 1,993.66 = 964.61 : x
  2. Step 2: Convert to fraction form
    1,330.73/1,993.66 = 964.61/x
  3. Step 3: Cross multiply
    1,330.73x = 1,993.66 × 964.61
  4. Step 4: Simplify right side
    1,330.73x = 1,923,089.58
  5. Step 5: Solve for x
    x = 1,923,089.58/1,330.73
  6. Step 6: Final answer
    x = 1,445.14

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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.