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Finding the Fourth Proportional to 480.66, 659.45 and 457.44

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Solution

The fourth proportional to 480.66, 659.45 and 457.44 is: 627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.66 : 659.45 = 457.44 : x
  2. Step 2: Convert to fraction form
    480.66/659.45 = 457.44/x
  3. Step 3: Cross multiply
    480.66x = 659.45 × 457.44
  4. Step 4: Simplify right side
    480.66x = 301,658.81
  5. Step 5: Solve for x
    x = 301,658.81/480.66
  6. Step 6: Final answer
    x = 627.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.