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Finding the Fourth Proportional to 563.46, 776.72 and 438.90

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Solution

The fourth proportional to 563.46, 776.72 and 438.90 is: 605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.46 : 776.72 = 438.90 : x
  2. Step 2: Convert to fraction form
    563.46/776.72 = 438.90/x
  3. Step 3: Cross multiply
    563.46x = 776.72 × 438.90
  4. Step 4: Simplify right side
    563.46x = 340,902.41
  5. Step 5: Solve for x
    x = 340,902.41/563.46
  6. Step 6: Final answer
    x = 605.02

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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.