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Finding the Fourth Proportional to 704.75, 1,057.12 and 288.19

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Solution

The fourth proportional to 704.75, 1,057.12 and 288.19 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.75 : 1,057.12 = 288.19 : x
  2. Step 2: Convert to fraction form
    704.75/1,057.12 = 288.19/x
  3. Step 3: Cross multiply
    704.75x = 1,057.12 × 288.19
  4. Step 4: Simplify right side
    704.75x = 304,652.01
  5. Step 5: Solve for x
    x = 304,652.01/704.75
  6. Step 6: Final answer
    x = 432.28

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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.