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Finding the Fourth Proportional to 559.86, 770.64 and 485.88

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Solution

The fourth proportional to 559.86, 770.64 and 485.88 is: 668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 770.64 = 485.88 : x
  2. Step 2: Convert to fraction form
    559.86/770.64 = 485.88/x
  3. Step 3: Cross multiply
    559.86x = 770.64 × 485.88
  4. Step 4: Simplify right side
    559.86x = 374,438.56
  5. Step 5: Solve for x
    x = 374,438.56/559.86
  6. Step 6: Final answer
    x = 668.81

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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.