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Finding the Fourth Proportional to 1,297.55, 1,946.33 and 323.66

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Solution

The fourth proportional to 1,297.55, 1,946.33 and 323.66 is: 485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.55 : 1,946.33 = 323.66 : x
  2. Step 2: Convert to fraction form
    1,297.55/1,946.33 = 323.66/x
  3. Step 3: Cross multiply
    1,297.55x = 1,946.33 × 323.66
  4. Step 4: Simplify right side
    1,297.55x = 629,953.63
  5. Step 5: Solve for x
    x = 629,953.63/1,297.55
  6. Step 6: Final answer
    x = 485.49

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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.