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Finding the Fourth Proportional to 559.13, 770.87 and 454.73

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Solution

The fourth proportional to 559.13, 770.87 and 454.73 is: 626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.13 : 770.87 = 454.73 : x
  2. Step 2: Convert to fraction form
    559.13/770.87 = 454.73/x
  3. Step 3: Cross multiply
    559.13x = 770.87 × 454.73
  4. Step 4: Simplify right side
    559.13x = 350,535.00
  5. Step 5: Solve for x
    x = 350,535.00/559.13
  6. Step 6: Final answer
    x = 626.93

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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.