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Finding the Fourth Proportional to 482.09, 659.55 and 480.03

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Solution

The fourth proportional to 482.09, 659.55 and 480.03 is: 656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.09 : 659.55 = 480.03 : x
  2. Step 2: Convert to fraction form
    482.09/659.55 = 480.03/x
  3. Step 3: Cross multiply
    482.09x = 659.55 × 480.03
  4. Step 4: Simplify right side
    482.09x = 316,603.79
  5. Step 5: Solve for x
    x = 316,603.79/482.09
  6. Step 6: Final answer
    x = 656.74

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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.