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Finding the Fourth Proportional to 563.18, 773.85 and 458.00

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Solution

The fourth proportional to 563.18, 773.85 and 458.00 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.18 : 773.85 = 458.00 : x
  2. Step 2: Convert to fraction form
    563.18/773.85 = 458.00/x
  3. Step 3: Cross multiply
    563.18x = 773.85 × 458.00
  4. Step 4: Simplify right side
    563.18x = 354,428.40
  5. Step 5: Solve for x
    x = 354,428.40/563.18
  6. Step 6: Final answer
    x = 629.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.