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Finding the Fourth Proportional to 559.49, 770.10 and 409.85

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Solution

The fourth proportional to 559.49, 770.10 and 409.85 is: 564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.49 : 770.10 = 409.85 : x
  2. Step 2: Convert to fraction form
    559.49/770.10 = 409.85/x
  3. Step 3: Cross multiply
    559.49x = 770.10 × 409.85
  4. Step 4: Simplify right side
    559.49x = 315,621.63
  5. Step 5: Solve for x
    x = 315,621.63/559.49
  6. Step 6: Final answer
    x = 564.13

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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.