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Finding the Fourth Proportional to 483.62, 723.89 and 345.99

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Solution

The fourth proportional to 483.62, 723.89 and 345.99 is: 517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.62 : 723.89 = 345.99 : x
  2. Step 2: Convert to fraction form
    483.62/723.89 = 345.99/x
  3. Step 3: Cross multiply
    483.62x = 723.89 × 345.99
  4. Step 4: Simplify right side
    483.62x = 250,458.34
  5. Step 5: Solve for x
    x = 250,458.34/483.62
  6. Step 6: Final answer
    x = 517.89

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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.