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Finding the Fourth Proportional to 704.81, 1,057.20 and 288.25

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Solution

The fourth proportional to 704.81, 1,057.20 and 288.25 is: 432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.81 : 1,057.20 = 288.25 : x
  2. Step 2: Convert to fraction form
    704.81/1,057.20 = 288.25/x
  3. Step 3: Cross multiply
    704.81x = 1,057.20 × 288.25
  4. Step 4: Simplify right side
    704.81x = 304,734.18
  5. Step 5: Solve for x
    x = 304,734.18/704.81
  6. Step 6: Final answer
    x = 432.37

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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.