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Finding the Fourth Proportional to 1,319.42, 1,976.64 and 989.72

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Solution

The fourth proportional to 1,319.42, 1,976.64 and 989.72 is: 1,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.42 : 1,976.64 = 989.72 : x
  2. Step 2: Convert to fraction form
    1,319.42/1,976.64 = 989.72/x
  3. Step 3: Cross multiply
    1,319.42x = 1,976.64 × 989.72
  4. Step 4: Simplify right side
    1,319.42x = 1,956,320.14
  5. Step 5: Solve for x
    x = 1,956,320.14/1,319.42
  6. Step 6: Final answer
    x = 1,482.71

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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.