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Finding the Fourth Proportional to 917.20, 1,374.20 and 859.60

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Solution

The fourth proportional to 917.20, 1,374.20 and 859.60 is: 1,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.20 : 1,374.20 = 859.60 : x
  2. Step 2: Convert to fraction form
    917.20/1,374.20 = 859.60/x
  3. Step 3: Cross multiply
    917.20x = 1,374.20 × 859.60
  4. Step 4: Simplify right side
    917.20x = 1,181,262.32
  5. Step 5: Solve for x
    x = 1,181,262.32/917.20
  6. Step 6: Final answer
    x = 1,287.90

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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.