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Finding the Fourth Proportional to 940.50, 1,410.57 and 324.18

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Solution

The fourth proportional to 940.50, 1,410.57 and 324.18 is: 486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.50 : 1,410.57 = 324.18 : x
  2. Step 2: Convert to fraction form
    940.50/1,410.57 = 324.18/x
  3. Step 3: Cross multiply
    940.50x = 1,410.57 × 324.18
  4. Step 4: Simplify right side
    940.50x = 457,278.58
  5. Step 5: Solve for x
    x = 457,278.58/940.50
  6. Step 6: Final answer
    x = 486.21

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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.