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Finding the Fourth Proportional to 558.95, 770.84 and 369.82

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Solution

The fourth proportional to 558.95, 770.84 and 369.82 is: 510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.95 : 770.84 = 369.82 : x
  2. Step 2: Convert to fraction form
    558.95/770.84 = 369.82/x
  3. Step 3: Cross multiply
    558.95x = 770.84 × 369.82
  4. Step 4: Simplify right side
    558.95x = 285,072.05
  5. Step 5: Solve for x
    x = 285,072.05/558.95
  6. Step 6: Final answer
    x = 510.01

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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.