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Finding the Fourth Proportional to 482.55, 723.83 and 309.30

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Solution

The fourth proportional to 482.55, 723.83 and 309.30 is: 463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.55 : 723.83 = 309.30 : x
  2. Step 2: Convert to fraction form
    482.55/723.83 = 309.30/x
  3. Step 3: Cross multiply
    482.55x = 723.83 × 309.30
  4. Step 4: Simplify right side
    482.55x = 223,879.07
  5. Step 5: Solve for x
    x = 223,879.07/482.55
  6. Step 6: Final answer
    x = 463.95

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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.