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Finding the Fourth Proportional to 851.27, 1,173.66 and 693.72

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Solution

The fourth proportional to 851.27, 1,173.66 and 693.72 is: 956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.27 : 1,173.66 = 693.72 : x
  2. Step 2: Convert to fraction form
    851.27/1,173.66 = 693.72/x
  3. Step 3: Cross multiply
    851.27x = 1,173.66 × 693.72
  4. Step 4: Simplify right side
    851.27x = 814,196.08
  5. Step 5: Solve for x
    x = 814,196.08/851.27
  6. Step 6: Final answer
    x = 956.45

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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.