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Finding the Fourth Proportional to 1,317.42, 1,976.09 and 451.71

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Solution

The fourth proportional to 1,317.42, 1,976.09 and 451.71 is: 677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.42 : 1,976.09 = 451.71 : x
  2. Step 2: Convert to fraction form
    1,317.42/1,976.09 = 451.71/x
  3. Step 3: Cross multiply
    1,317.42x = 1,976.09 × 451.71
  4. Step 4: Simplify right side
    1,317.42x = 892,617.36
  5. Step 5: Solve for x
    x = 892,617.36/1,317.42
  6. Step 6: Final answer
    x = 677.55

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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.