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Finding the Fourth Proportional to 940.68, 1,411.16 and 453.33

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Solution

The fourth proportional to 940.68, 1,411.16 and 453.33 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.68 : 1,411.16 = 453.33 : x
  2. Step 2: Convert to fraction form
    940.68/1,411.16 = 453.33/x
  3. Step 3: Cross multiply
    940.68x = 1,411.16 × 453.33
  4. Step 4: Simplify right side
    940.68x = 639,718.90
  5. Step 5: Solve for x
    x = 639,718.90/940.68
  6. Step 6: Final answer
    x = 680.06

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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.