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Finding the Fourth Proportional to 563.95, 846.47 and 418.15

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Solution

The fourth proportional to 563.95, 846.47 and 418.15 is: 627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.95 : 846.47 = 418.15 : x
  2. Step 2: Convert to fraction form
    563.95/846.47 = 418.15/x
  3. Step 3: Cross multiply
    563.95x = 846.47 × 418.15
  4. Step 4: Simplify right side
    563.95x = 353,951.43
  5. Step 5: Solve for x
    x = 353,951.43/563.95
  6. Step 6: Final answer
    x = 627.63

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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.