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Finding the Fourth Proportional to 563.88, 846.47 and 425.78

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Solution

The fourth proportional to 563.88, 846.47 and 425.78 is: 639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 846.47 = 425.78 : x
  2. Step 2: Convert to fraction form
    563.88/846.47 = 425.78/x
  3. Step 3: Cross multiply
    563.88x = 846.47 × 425.78
  4. Step 4: Simplify right side
    563.88x = 360,410.00
  5. Step 5: Solve for x
    x = 360,410.00/563.88
  6. Step 6: Final answer
    x = 639.16

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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.