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Finding the Fourth Proportional to 738.06, 1,115.44 and 725.30

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Solution

The fourth proportional to 738.06, 1,115.44 and 725.30 is: 1,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.06 : 1,115.44 = 725.30 : x
  2. Step 2: Convert to fraction form
    738.06/1,115.44 = 725.30/x
  3. Step 3: Cross multiply
    738.06x = 1,115.44 × 725.30
  4. Step 4: Simplify right side
    738.06x = 809,028.63
  5. Step 5: Solve for x
    x = 809,028.63/738.06
  6. Step 6: Final answer
    x = 1,096.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.