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Finding the Fourth Proportional to 786.67, 1,174.25 and 729.63

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Solution

The fourth proportional to 786.67, 1,174.25 and 729.63 is: 1,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.67 : 1,174.25 = 729.63 : x
  2. Step 2: Convert to fraction form
    786.67/1,174.25 = 729.63/x
  3. Step 3: Cross multiply
    786.67x = 1,174.25 × 729.63
  4. Step 4: Simplify right side
    786.67x = 856,769.85
  5. Step 5: Solve for x
    x = 856,769.85/786.67
  6. Step 6: Final answer
    x = 1,089.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.