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Finding the Fourth Proportional to 851.08, 1,173.27 and 556.24

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Solution

The fourth proportional to 851.08, 1,173.27 and 556.24 is: 766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.08 : 1,173.27 = 556.24 : x
  2. Step 2: Convert to fraction form
    851.08/1,173.27 = 556.24/x
  3. Step 3: Cross multiply
    851.08x = 1,173.27 × 556.24
  4. Step 4: Simplify right side
    851.08x = 652,619.70
  5. Step 5: Solve for x
    x = 652,619.70/851.08
  6. Step 6: Final answer
    x = 766.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.