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Finding the Fourth Proportional to 1,777.21, 2,665.98 and 460.96

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Solution

The fourth proportional to 1,777.21, 2,665.98 and 460.96 is: 691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.21 : 2,665.98 = 460.96 : x
  2. Step 2: Convert to fraction form
    1,777.21/2,665.98 = 460.96/x
  3. Step 3: Cross multiply
    1,777.21x = 2,665.98 × 460.96
  4. Step 4: Simplify right side
    1,777.21x = 1,228,913.47
  5. Step 5: Solve for x
    x = 1,228,913.47/1,777.21
  6. Step 6: Final answer
    x = 691.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.