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Finding the Fourth Proportional to 739.24, 1,107.24 and 463.84

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Solution

The fourth proportional to 739.24, 1,107.24 and 463.84 is: 694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.24 : 1,107.24 = 463.84 : x
  2. Step 2: Convert to fraction form
    739.24/1,107.24 = 463.84/x
  3. Step 3: Cross multiply
    739.24x = 1,107.24 × 463.84
  4. Step 4: Simplify right side
    739.24x = 513,582.20
  5. Step 5: Solve for x
    x = 513,582.20/739.24
  6. Step 6: Final answer
    x = 694.74

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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.