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Finding the Fourth Proportional to 485.12, 726.78 and 376.40

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Solution

The fourth proportional to 485.12, 726.78 and 376.40 is: 563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.12 : 726.78 = 376.40 : x
  2. Step 2: Convert to fraction form
    485.12/726.78 = 376.40/x
  3. Step 3: Cross multiply
    485.12x = 726.78 × 376.40
  4. Step 4: Simplify right side
    485.12x = 273,559.99
  5. Step 5: Solve for x
    x = 273,559.99/485.12
  6. Step 6: Final answer
    x = 563.90

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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.