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Finding the Fourth Proportional to 851.10, 1,175.17 and 739.45

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Solution

The fourth proportional to 851.10, 1,175.17 and 739.45 is: 1,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.10 : 1,175.17 = 739.45 : x
  2. Step 2: Convert to fraction form
    851.10/1,175.17 = 739.45/x
  3. Step 3: Cross multiply
    851.10x = 1,175.17 × 739.45
  4. Step 4: Simplify right side
    851.10x = 868,979.46
  5. Step 5: Solve for x
    x = 868,979.46/851.10
  6. Step 6: Final answer
    x = 1,021.01

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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.