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Finding the Fourth Proportional to 851.72, 1,174.65 and 719.59

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Solution

The fourth proportional to 851.72, 1,174.65 and 719.59 is: 992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.72 : 1,174.65 = 719.59 : x
  2. Step 2: Convert to fraction form
    851.72/1,174.65 = 719.59/x
  3. Step 3: Cross multiply
    851.72x = 1,174.65 × 719.59
  4. Step 4: Simplify right side
    851.72x = 845,256.92
  5. Step 5: Solve for x
    x = 845,256.92/851.72
  6. Step 6: Final answer
    x = 992.42

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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.