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Finding the Fourth Proportional to 563.13, 843.28 and 319.32

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Solution

The fourth proportional to 563.13, 843.28 and 319.32 is: 478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.13 : 843.28 = 319.32 : x
  2. Step 2: Convert to fraction form
    563.13/843.28 = 319.32/x
  3. Step 3: Cross multiply
    563.13x = 843.28 × 319.32
  4. Step 4: Simplify right side
    563.13x = 269,275.37
  5. Step 5: Solve for x
    x = 269,275.37/563.13
  6. Step 6: Final answer
    x = 478.18

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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.