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Finding the Fourth Proportional to 739.63, 1,109.76 and 392.95

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Solution

The fourth proportional to 739.63, 1,109.76 and 392.95 is: 589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.63 : 1,109.76 = 392.95 : x
  2. Step 2: Convert to fraction form
    739.63/1,109.76 = 392.95/x
  3. Step 3: Cross multiply
    739.63x = 1,109.76 × 392.95
  4. Step 4: Simplify right side
    739.63x = 436,080.19
  5. Step 5: Solve for x
    x = 436,080.19/739.63
  6. Step 6: Final answer
    x = 589.59

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