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Finding the Fourth Proportional to 727.88, 1,090.96 and 317.20

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Solution

The fourth proportional to 727.88, 1,090.96 and 317.20 is: 475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.88 : 1,090.96 = 317.20 : x
  2. Step 2: Convert to fraction form
    727.88/1,090.96 = 317.20/x
  3. Step 3: Cross multiply
    727.88x = 1,090.96 × 317.20
  4. Step 4: Simplify right side
    727.88x = 346,052.51
  5. Step 5: Solve for x
    x = 346,052.51/727.88
  6. Step 6: Final answer
    x = 475.43

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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.