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Finding the Fourth Proportional to 768.12, 1,057.74 and 571.28

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Solution

The fourth proportional to 768.12, 1,057.74 and 571.28 is: 786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.12 : 1,057.74 = 571.28 : x
  2. Step 2: Convert to fraction form
    768.12/1,057.74 = 571.28/x
  3. Step 3: Cross multiply
    768.12x = 1,057.74 × 571.28
  4. Step 4: Simplify right side
    768.12x = 604,265.71
  5. Step 5: Solve for x
    x = 604,265.71/768.12
  6. Step 6: Final answer
    x = 786.68

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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.