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Finding the Fourth Proportional to 559.77, 773.30 and 442.52

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Solution

The fourth proportional to 559.77, 773.30 and 442.52 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.77 : 773.30 = 442.52 : x
  2. Step 2: Convert to fraction form
    559.77/773.30 = 442.52/x
  3. Step 3: Cross multiply
    559.77x = 773.30 × 442.52
  4. Step 4: Simplify right side
    559.77x = 342,203.76
  5. Step 5: Solve for x
    x = 342,203.76/559.77
  6. Step 6: Final answer
    x = 611.33

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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.