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Finding the Fourth Proportional to 482.47, 720.77 and 307.73

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Solution

The fourth proportional to 482.47, 720.77 and 307.73 is: 459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.47 : 720.77 = 307.73 : x
  2. Step 2: Convert to fraction form
    482.47/720.77 = 307.73/x
  3. Step 3: Cross multiply
    482.47x = 720.77 × 307.73
  4. Step 4: Simplify right side
    482.47x = 221,802.55
  5. Step 5: Solve for x
    x = 221,802.55/482.47
  6. Step 6: Final answer
    x = 459.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.