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Finding the Fourth Proportional to 511.56, 703.35 and 458.73

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Solution

The fourth proportional to 511.56, 703.35 and 458.73 is: 630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 703.35 = 458.73 : x
  2. Step 2: Convert to fraction form
    511.56/703.35 = 458.73/x
  3. Step 3: Cross multiply
    511.56x = 703.35 × 458.73
  4. Step 4: Simplify right side
    511.56x = 322,647.75
  5. Step 5: Solve for x
    x = 322,647.75/511.56
  6. Step 6: Final answer
    x = 630.71

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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.