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Finding the Fourth Proportional to 940.80, 1,411.20 and 324.45

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Solution

The fourth proportional to 940.80, 1,411.20 and 324.45 is: 486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.80 : 1,411.20 = 324.45 : x
  2. Step 2: Convert to fraction form
    940.80/1,411.20 = 324.45/x
  3. Step 3: Cross multiply
    940.80x = 1,411.20 × 324.45
  4. Step 4: Simplify right side
    940.80x = 457,863.84
  5. Step 5: Solve for x
    x = 457,863.84/940.80
  6. Step 6: Final answer
    x = 486.68

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Double scale
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1.5x scale

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.