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Finding the Fourth Proportional to 442.64, 610.77 and 406.80

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Solution

The fourth proportional to 442.64, 610.77 and 406.80 is: 561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 610.77 = 406.80 : x
  2. Step 2: Convert to fraction form
    442.64/610.77 = 406.80/x
  3. Step 3: Cross multiply
    442.64x = 610.77 × 406.80
  4. Step 4: Simplify right side
    442.64x = 248,462.76
  5. Step 5: Solve for x
    x = 248,462.76/442.64
  6. Step 6: Final answer
    x = 561.32

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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.