Home / 727.14-1,090.30-342.40

Finding the Fourth Proportional to 727.14, 1,090.30 and 342.40

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Solution

The fourth proportional to 727.14, 1,090.30 and 342.40 is: 513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,090.30 = 342.40 : x
  2. Step 2: Convert to fraction form
    727.14/1,090.30 = 342.40/x
  3. Step 3: Cross multiply
    727.14x = 1,090.30 × 342.40
  4. Step 4: Simplify right side
    727.14x = 373,318.72
  5. Step 5: Solve for x
    x = 373,318.72/727.14
  6. Step 6: Final answer
    x = 513.41

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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.