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Finding the Fourth Proportional to 736.30, 1,016.12 and 437.71

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Solution

The fourth proportional to 736.30, 1,016.12 and 437.71 is: 604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.30 : 1,016.12 = 437.71 : x
  2. Step 2: Convert to fraction form
    736.30/1,016.12 = 437.71/x
  3. Step 3: Cross multiply
    736.30x = 1,016.12 × 437.71
  4. Step 4: Simplify right side
    736.30x = 444,765.89
  5. Step 5: Solve for x
    x = 444,765.89/736.30
  6. Step 6: Final answer
    x = 604.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.