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Finding the Fourth Proportional to 482.27, 720.47 and 307.54

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Solution

The fourth proportional to 482.27, 720.47 and 307.54 is: 459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.27 : 720.47 = 307.54 : x
  2. Step 2: Convert to fraction form
    482.27/720.47 = 307.54/x
  3. Step 3: Cross multiply
    482.27x = 720.47 × 307.54
  4. Step 4: Simplify right side
    482.27x = 221,571.81
  5. Step 5: Solve for x
    x = 221,571.81/482.27
  6. Step 6: Final answer
    x = 459.44

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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.