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Finding the Fourth Proportional to 704.33, 1,057.31 and 499.81

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Solution

The fourth proportional to 704.33, 1,057.31 and 499.81 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.33 : 1,057.31 = 499.81 : x
  2. Step 2: Convert to fraction form
    704.33/1,057.31 = 499.81/x
  3. Step 3: Cross multiply
    704.33x = 1,057.31 × 499.81
  4. Step 4: Simplify right side
    704.33x = 528,446.33
  5. Step 5: Solve for x
    x = 528,446.33/704.33
  6. Step 6: Final answer
    x = 750.28

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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.