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Finding the Fourth Proportional to 563.22, 776.84 and 421.28

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Solution

The fourth proportional to 563.22, 776.84 and 421.28 is: 581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.22 : 776.84 = 421.28 : x
  2. Step 2: Convert to fraction form
    563.22/776.84 = 421.28/x
  3. Step 3: Cross multiply
    563.22x = 776.84 × 421.28
  4. Step 4: Simplify right side
    563.22x = 327,267.16
  5. Step 5: Solve for x
    x = 327,267.16/563.22
  6. Step 6: Final answer
    x = 581.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.