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Finding the Fourth Proportional to 860.56, 1,289.68 and 469.60

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Solution

The fourth proportional to 860.56, 1,289.68 and 469.60 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.56 : 1,289.68 = 469.60 : x
  2. Step 2: Convert to fraction form
    860.56/1,289.68 = 469.60/x
  3. Step 3: Cross multiply
    860.56x = 1,289.68 × 469.60
  4. Step 4: Simplify right side
    860.56x = 605,633.73
  5. Step 5: Solve for x
    x = 605,633.73/860.56
  6. Step 6: Final answer
    x = 703.77

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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.