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Finding the Fourth Proportional to 483.69, 724.70 and 346.05

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Solution

The fourth proportional to 483.69, 724.70 and 346.05 is: 518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.69 : 724.70 = 346.05 : x
  2. Step 2: Convert to fraction form
    483.69/724.70 = 346.05/x
  3. Step 3: Cross multiply
    483.69x = 724.70 × 346.05
  4. Step 4: Simplify right side
    483.69x = 250,780.70
  5. Step 5: Solve for x
    x = 250,780.70/483.69
  6. Step 6: Final answer
    x = 518.47

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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.