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Finding the Fourth Proportional to 784.96, 1,170.64 and 727.36

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Solution

The fourth proportional to 784.96, 1,170.64 and 727.36 is: 1,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,170.64 = 727.36 : x
  2. Step 2: Convert to fraction form
    784.96/1,170.64 = 727.36/x
  3. Step 3: Cross multiply
    784.96x = 1,170.64 × 727.36
  4. Step 4: Simplify right side
    784.96x = 851,476.71
  5. Step 5: Solve for x
    x = 851,476.71/784.96
  6. Step 6: Final answer
    x = 1,084.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.