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Finding the Fourth Proportional to 727.19, 1,090.53 and 393.57

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Solution

The fourth proportional to 727.19, 1,090.53 and 393.57 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.19 : 1,090.53 = 393.57 : x
  2. Step 2: Convert to fraction form
    727.19/1,090.53 = 393.57/x
  3. Step 3: Cross multiply
    727.19x = 1,090.53 × 393.57
  4. Step 4: Simplify right side
    727.19x = 429,192.47
  5. Step 5: Solve for x
    x = 429,192.47/727.19
  6. Step 6: Final answer
    x = 590.21

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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.