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Finding the Fourth Proportional to 1,323.82, 1,975.45 and 1,148.86

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Solution

The fourth proportional to 1,323.82, 1,975.45 and 1,148.86 is: 1,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.82 : 1,975.45 = 1,148.86 : x
  2. Step 2: Convert to fraction form
    1,323.82/1,975.45 = 1,148.86/x
  3. Step 3: Cross multiply
    1,323.82x = 1,975.45 × 1,148.86
  4. Step 4: Simplify right side
    1,323.82x = 2,269,515.49
  5. Step 5: Solve for x
    x = 2,269,515.49/1,323.82
  6. Step 6: Final answer
    x = 1,714.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.