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Finding the Fourth Proportional to 563.51, 845.33 and 441.56

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Solution

The fourth proportional to 563.51, 845.33 and 441.56 is: 662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.51 : 845.33 = 441.56 : x
  2. Step 2: Convert to fraction form
    563.51/845.33 = 441.56/x
  3. Step 3: Cross multiply
    563.51x = 845.33 × 441.56
  4. Step 4: Simplify right side
    563.51x = 373,263.82
  5. Step 5: Solve for x
    x = 373,263.82/563.51
  6. Step 6: Final answer
    x = 662.39

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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.