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Finding the Fourth Proportional to 563.16, 775.80 and 438.60

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Solution

The fourth proportional to 563.16, 775.80 and 438.60 is: 604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.16 : 775.80 = 438.60 : x
  2. Step 2: Convert to fraction form
    563.16/775.80 = 438.60/x
  3. Step 3: Cross multiply
    563.16x = 775.80 × 438.60
  4. Step 4: Simplify right side
    563.16x = 340,265.88
  5. Step 5: Solve for x
    x = 340,265.88/563.16
  6. Step 6: Final answer
    x = 604.21

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