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Finding the Fourth Proportional to 739.12, 1,106.30 and 391.96

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Solution

The fourth proportional to 739.12, 1,106.30 and 391.96 is: 586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.12 : 1,106.30 = 391.96 : x
  2. Step 2: Convert to fraction form
    739.12/1,106.30 = 391.96/x
  3. Step 3: Cross multiply
    739.12x = 1,106.30 × 391.96
  4. Step 4: Simplify right side
    739.12x = 433,625.35
  5. Step 5: Solve for x
    x = 433,625.35/739.12
  6. Step 6: Final answer
    x = 586.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.