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Finding the Fourth Proportional to 559.88, 771.90 and 442.16

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Solution

The fourth proportional to 559.88, 771.90 and 442.16 is: 609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.88 : 771.90 = 442.16 : x
  2. Step 2: Convert to fraction form
    559.88/771.90 = 442.16/x
  3. Step 3: Cross multiply
    559.88x = 771.90 × 442.16
  4. Step 4: Simplify right side
    559.88x = 341,303.30
  5. Step 5: Solve for x
    x = 341,303.30/559.88
  6. Step 6: Final answer
    x = 609.60

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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.