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Finding the Fourth Proportional to 746.53, 1,119.24 and 356.29

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Solution

The fourth proportional to 746.53, 1,119.24 and 356.29 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.53 : 1,119.24 = 356.29 : x
  2. Step 2: Convert to fraction form
    746.53/1,119.24 = 356.29/x
  3. Step 3: Cross multiply
    746.53x = 1,119.24 × 356.29
  4. Step 4: Simplify right side
    746.53x = 398,774.02
  5. Step 5: Solve for x
    x = 398,774.02/746.53
  6. Step 6: Final answer
    x = 534.17

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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.