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Finding the Fourth Proportional to 480.13, 659.49 and 470.91

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Solution

The fourth proportional to 480.13, 659.49 and 470.91 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.13 : 659.49 = 470.91 : x
  2. Step 2: Convert to fraction form
    480.13/659.49 = 470.91/x
  3. Step 3: Cross multiply
    480.13x = 659.49 × 470.91
  4. Step 4: Simplify right side
    480.13x = 310,557.14
  5. Step 5: Solve for x
    x = 310,557.14/480.13
  6. Step 6: Final answer
    x = 646.82

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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.