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Finding the Fourth Proportional to 829.74, 1,145.43 and 480.36

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Solution

The fourth proportional to 829.74, 1,145.43 and 480.36 is: 663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.74 : 1,145.43 = 480.36 : x
  2. Step 2: Convert to fraction form
    829.74/1,145.43 = 480.36/x
  3. Step 3: Cross multiply
    829.74x = 1,145.43 × 480.36
  4. Step 4: Simplify right side
    829.74x = 550,218.75
  5. Step 5: Solve for x
    x = 550,218.75/829.74
  6. Step 6: Final answer
    x = 663.12

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Double scale
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1.5x scale

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.