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Finding the Fourth Proportional to 455.77, 628.73 and 331.23

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Solution

The fourth proportional to 455.77, 628.73 and 331.23 is: 456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.77 : 628.73 = 331.23 : x
  2. Step 2: Convert to fraction form
    455.77/628.73 = 331.23/x
  3. Step 3: Cross multiply
    455.77x = 628.73 × 331.23
  4. Step 4: Simplify right side
    455.77x = 208,254.24
  5. Step 5: Solve for x
    x = 208,254.24/455.77
  6. Step 6: Final answer
    x = 456.93

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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.