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Finding the Fourth Proportional to 480.40, 721.82 and 307.14

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Solution

The fourth proportional to 480.40, 721.82 and 307.14 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.40 : 721.82 = 307.14 : x
  2. Step 2: Convert to fraction form
    480.40/721.82 = 307.14/x
  3. Step 3: Cross multiply
    480.40x = 721.82 × 307.14
  4. Step 4: Simplify right side
    480.40x = 221,699.79
  5. Step 5: Solve for x
    x = 221,699.79/480.40
  6. Step 6: Final answer
    x = 461.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.