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Finding the Fourth Proportional to 860.28, 1,290.78 and 475.50

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Solution

The fourth proportional to 860.28, 1,290.78 and 475.50 is: 713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.28 : 1,290.78 = 475.50 : x
  2. Step 2: Convert to fraction form
    860.28/1,290.78 = 475.50/x
  3. Step 3: Cross multiply
    860.28x = 1,290.78 × 475.50
  4. Step 4: Simplify right side
    860.28x = 613,765.89
  5. Step 5: Solve for x
    x = 613,765.89/860.28
  6. Step 6: Final answer
    x = 713.45

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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.