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Finding the Fourth Proportional to 480.42, 661.86 and 456.98

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Solution

The fourth proportional to 480.42, 661.86 and 456.98 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.42 : 661.86 = 456.98 : x
  2. Step 2: Convert to fraction form
    480.42/661.86 = 456.98/x
  3. Step 3: Cross multiply
    480.42x = 661.86 × 456.98
  4. Step 4: Simplify right side
    480.42x = 302,453.47
  5. Step 5: Solve for x
    x = 302,453.47/480.42
  6. Step 6: Final answer
    x = 629.56

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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.