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Finding the Fourth Proportional to 483.36, 720.09 and 460.14

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Solution

The fourth proportional to 483.36, 720.09 and 460.14 is: 685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.36 : 720.09 = 460.14 : x
  2. Step 2: Convert to fraction form
    483.36/720.09 = 460.14/x
  3. Step 3: Cross multiply
    483.36x = 720.09 × 460.14
  4. Step 4: Simplify right side
    483.36x = 331,342.21
  5. Step 5: Solve for x
    x = 331,342.21/483.36
  6. Step 6: Final answer
    x = 685.50

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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.