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Finding the Fourth Proportional to 727.28, 1,091.36 and 402.32

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Solution

The fourth proportional to 727.28, 1,091.36 and 402.32 is: 603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.28 : 1,091.36 = 402.32 : x
  2. Step 2: Convert to fraction form
    727.28/1,091.36 = 402.32/x
  3. Step 3: Cross multiply
    727.28x = 1,091.36 × 402.32
  4. Step 4: Simplify right side
    727.28x = 439,075.96
  5. Step 5: Solve for x
    x = 439,075.96/727.28
  6. Step 6: Final answer
    x = 603.72

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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.