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Finding the Fourth Proportional to 940.37, 1,410.21 and 315.50

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Solution

The fourth proportional to 940.37, 1,410.21 and 315.50 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.37 : 1,410.21 = 315.50 : x
  2. Step 2: Convert to fraction form
    940.37/1,410.21 = 315.50/x
  3. Step 3: Cross multiply
    940.37x = 1,410.21 × 315.50
  4. Step 4: Simplify right side
    940.37x = 444,914.20
  5. Step 5: Solve for x
    x = 444,914.20/940.37
  6. Step 6: Final answer
    x = 473.13

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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.