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Finding the Fourth Proportional to 829.91, 1,245.38 and 483.40

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Solution

The fourth proportional to 829.91, 1,245.38 and 483.40 is: 725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.91 : 1,245.38 = 483.40 : x
  2. Step 2: Convert to fraction form
    829.91/1,245.38 = 483.40/x
  3. Step 3: Cross multiply
    829.91x = 1,245.38 × 483.40
  4. Step 4: Simplify right side
    829.91x = 602,014.28
  5. Step 5: Solve for x
    x = 602,014.28/829.91
  6. Step 6: Final answer
    x = 725.40

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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.