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Finding the Fourth Proportional to 860.73, 1,290.66 and 509.69

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Solution

The fourth proportional to 860.73, 1,290.66 and 509.69 is: 764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.73 : 1,290.66 = 509.69 : x
  2. Step 2: Convert to fraction form
    860.73/1,290.66 = 509.69/x
  3. Step 3: Cross multiply
    860.73x = 1,290.66 × 509.69
  4. Step 4: Simplify right side
    860.73x = 657,839.72
  5. Step 5: Solve for x
    x = 657,839.72/860.73
  6. Step 6: Final answer
    x = 764.28

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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.