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Finding the Fourth Proportional to 727.92, 1,003.62 and 615.66

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Solution

The fourth proportional to 727.92, 1,003.62 and 615.66 is: 848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.92 : 1,003.62 = 615.66 : x
  2. Step 2: Convert to fraction form
    727.92/1,003.62 = 615.66/x
  3. Step 3: Cross multiply
    727.92x = 1,003.62 × 615.66
  4. Step 4: Simplify right side
    727.92x = 617,888.69
  5. Step 5: Solve for x
    x = 617,888.69/727.92
  6. Step 6: Final answer
    x = 848.84

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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.