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Finding the Fourth Proportional to 851.20, 1,173.88 and 552.31

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Solution

The fourth proportional to 851.20, 1,173.88 and 552.31 is: 761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.20 : 1,173.88 = 552.31 : x
  2. Step 2: Convert to fraction form
    851.20/1,173.88 = 552.31/x
  3. Step 3: Cross multiply
    851.20x = 1,173.88 × 552.31
  4. Step 4: Simplify right side
    851.20x = 648,345.66
  5. Step 5: Solve for x
    x = 648,345.66/851.20
  6. Step 6: Final answer
    x = 761.68

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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.