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Finding the Fourth Proportional to 736.34, 1,016.14 and 437.79

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Solution

The fourth proportional to 736.34, 1,016.14 and 437.79 is: 604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.34 : 1,016.14 = 437.79 : x
  2. Step 2: Convert to fraction form
    736.34/1,016.14 = 437.79/x
  3. Step 3: Cross multiply
    736.34x = 1,016.14 × 437.79
  4. Step 4: Simplify right side
    736.34x = 444,855.93
  5. Step 5: Solve for x
    x = 444,855.93/736.34
  6. Step 6: Final answer
    x = 604.15

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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.