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Finding the Fourth Proportional to 480.40, 659.30 and 459.92

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Solution

The fourth proportional to 480.40, 659.30 and 459.92 is: 631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.40 : 659.30 = 459.92 : x
  2. Step 2: Convert to fraction form
    480.40/659.30 = 459.92/x
  3. Step 3: Cross multiply
    480.40x = 659.30 × 459.92
  4. Step 4: Simplify right side
    480.40x = 303,225.26
  5. Step 5: Solve for x
    x = 303,225.26/480.40
  6. Step 6: Final answer
    x = 631.19

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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.