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Finding the Fourth Proportional to 829.99, 1,145.78 and 480.61

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Solution

The fourth proportional to 829.99, 1,145.78 and 480.61 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.99 : 1,145.78 = 480.61 : x
  2. Step 2: Convert to fraction form
    829.99/1,145.78 = 480.61/x
  3. Step 3: Cross multiply
    829.99x = 1,145.78 × 480.61
  4. Step 4: Simplify right side
    829.99x = 550,670.92
  5. Step 5: Solve for x
    x = 550,670.92/829.99
  6. Step 6: Final answer
    x = 663.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.