Home / 727.26-1,088.54-380.10

Finding the Fourth Proportional to 727.26, 1,088.54 and 380.10

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Solution

The fourth proportional to 727.26, 1,088.54 and 380.10 is: 568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.26 : 1,088.54 = 380.10 : x
  2. Step 2: Convert to fraction form
    727.26/1,088.54 = 380.10/x
  3. Step 3: Cross multiply
    727.26x = 1,088.54 × 380.10
  4. Step 4: Simplify right side
    727.26x = 413,754.05
  5. Step 5: Solve for x
    x = 413,754.05/727.26
  6. Step 6: Final answer
    x = 568.92

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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.