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Finding the Fourth Proportional to 1,503.77, 2,255.69 and 393.23

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Solution

The fourth proportional to 1,503.77, 2,255.69 and 393.23 is: 589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.77 : 2,255.69 = 393.23 : x
  2. Step 2: Convert to fraction form
    1,503.77/2,255.69 = 393.23/x
  3. Step 3: Cross multiply
    1,503.77x = 2,255.69 × 393.23
  4. Step 4: Simplify right side
    1,503.77x = 886,991.73
  5. Step 5: Solve for x
    x = 886,991.73/1,503.77
  6. Step 6: Final answer
    x = 589.84

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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.