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Finding the Fourth Proportional to 940.68, 1,411.29 and 615.65

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Solution

The fourth proportional to 940.68, 1,411.29 and 615.65 is: 923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.68 : 1,411.29 = 615.65 : x
  2. Step 2: Convert to fraction form
    940.68/1,411.29 = 615.65/x
  3. Step 3: Cross multiply
    940.68x = 1,411.29 × 615.65
  4. Step 4: Simplify right side
    940.68x = 868,853.63
  5. Step 5: Solve for x
    x = 868,853.63/940.68
  6. Step 6: Final answer
    x = 923.64

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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.