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Finding the Fourth Proportional to 495.25, 682.59 and 456.01

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Solution

The fourth proportional to 495.25, 682.59 and 456.01 is: 628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.25 : 682.59 = 456.01 : x
  2. Step 2: Convert to fraction form
    495.25/682.59 = 456.01/x
  3. Step 3: Cross multiply
    495.25x = 682.59 × 456.01
  4. Step 4: Simplify right side
    495.25x = 311,267.87
  5. Step 5: Solve for x
    x = 311,267.87/495.25
  6. Step 6: Final answer
    x = 628.51

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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.