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Finding the Fourth Proportional to 571.56, 860.71 and 514.45

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Solution

The fourth proportional to 571.56, 860.71 and 514.45 is: 774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.56 : 860.71 = 514.45 : x
  2. Step 2: Convert to fraction form
    571.56/860.71 = 514.45/x
  3. Step 3: Cross multiply
    571.56x = 860.71 × 514.45
  4. Step 4: Simplify right side
    571.56x = 442,792.26
  5. Step 5: Solve for x
    x = 442,792.26/571.56
  6. Step 6: Final answer
    x = 774.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.