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Finding the Fourth Proportional to 803.39, 1,205.63 and 370.55

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Solution

The fourth proportional to 803.39, 1,205.63 and 370.55 is: 556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.39 : 1,205.63 = 370.55 : x
  2. Step 2: Convert to fraction form
    803.39/1,205.63 = 370.55/x
  3. Step 3: Cross multiply
    803.39x = 1,205.63 × 370.55
  4. Step 4: Simplify right side
    803.39x = 446,738.32
  5. Step 5: Solve for x
    x = 446,738.32/803.39
  6. Step 6: Final answer
    x = 556.07

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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.