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Finding the Fourth Proportional to 563.09, 776.63 and 406.30

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Solution

The fourth proportional to 563.09, 776.63 and 406.30 is: 560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.09 : 776.63 = 406.30 : x
  2. Step 2: Convert to fraction form
    563.09/776.63 = 406.30/x
  3. Step 3: Cross multiply
    563.09x = 776.63 × 406.30
  4. Step 4: Simplify right side
    563.09x = 315,544.77
  5. Step 5: Solve for x
    x = 315,544.77/563.09
  6. Step 6: Final answer
    x = 560.38

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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.