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Finding the Fourth Proportional to 708, 1,061.28 and 512

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Solution

The fourth proportional to 708, 1,061.28 and 512 is: 767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 1,061.28 = 512 : x
  2. Step 2: Convert to fraction form
    708/1,061.28 = 512/x
  3. Step 3: Cross multiply
    708x = 1,061.28 × 512
  4. Step 4: Simplify right side
    708x = 543,375.36
  5. Step 5: Solve for x
    x = 543,375.36/708
  6. Step 6: Final answer
    x = 767.48

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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.