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Finding the Fourth Proportional to 829.89, 1,145.07 and 480.39

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Solution

The fourth proportional to 829.89, 1,145.07 and 480.39 is: 662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.89 : 1,145.07 = 480.39 : x
  2. Step 2: Convert to fraction form
    829.89/1,145.07 = 480.39/x
  3. Step 3: Cross multiply
    829.89x = 1,145.07 × 480.39
  4. Step 4: Simplify right side
    829.89x = 550,080.18
  5. Step 5: Solve for x
    x = 550,080.18/829.89
  6. Step 6: Final answer
    x = 662.84

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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.