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Finding the Fourth Proportional to 851.05, 1,176.77 and 741.70

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Solution

The fourth proportional to 851.05, 1,176.77 and 741.70 is: 1,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.05 : 1,176.77 = 741.70 : x
  2. Step 2: Convert to fraction form
    851.05/1,176.77 = 741.70/x
  3. Step 3: Cross multiply
    851.05x = 1,176.77 × 741.70
  4. Step 4: Simplify right side
    851.05x = 872,810.31
  5. Step 5: Solve for x
    x = 872,810.31/851.05
  6. Step 6: Final answer
    x = 1,025.57

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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.