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Finding the Fourth Proportional to 559.72, 770.88 and 461.44

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Solution

The fourth proportional to 559.72, 770.88 and 461.44 is: 635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.72 : 770.88 = 461.44 : x
  2. Step 2: Convert to fraction form
    559.72/770.88 = 461.44/x
  3. Step 3: Cross multiply
    559.72x = 770.88 × 461.44
  4. Step 4: Simplify right side
    559.72x = 355,714.87
  5. Step 5: Solve for x
    x = 355,714.87/559.72
  6. Step 6: Final answer
    x = 635.52

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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.