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Finding the Fourth Proportional to 727.94, 1,003.64 and 615.71

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Solution

The fourth proportional to 727.94, 1,003.64 and 615.71 is: 848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.94 : 1,003.64 = 615.71 : x
  2. Step 2: Convert to fraction form
    727.94/1,003.64 = 615.71/x
  3. Step 3: Cross multiply
    727.94x = 1,003.64 × 615.71
  4. Step 4: Simplify right side
    727.94x = 617,943.09
  5. Step 5: Solve for x
    x = 617,943.09/727.94
  6. Step 6: Final answer
    x = 848.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.