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Finding the Fourth Proportional to 480.99, 659.68 and 461.15

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Solution

The fourth proportional to 480.99, 659.68 and 461.15 is: 632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.99 : 659.68 = 461.15 : x
  2. Step 2: Convert to fraction form
    480.99/659.68 = 461.15/x
  3. Step 3: Cross multiply
    480.99x = 659.68 × 461.15
  4. Step 4: Simplify right side
    480.99x = 304,209.29
  5. Step 5: Solve for x
    x = 304,209.29/480.99
  6. Step 6: Final answer
    x = 632.46

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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.