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Finding the Fourth Proportional to 1,033.47, 1,425.72 and 613.84

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Solution

The fourth proportional to 1,033.47, 1,425.72 and 613.84 is: 846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.47 : 1,425.72 = 613.84 : x
  2. Step 2: Convert to fraction form
    1,033.47/1,425.72 = 613.84/x
  3. Step 3: Cross multiply
    1,033.47x = 1,425.72 × 613.84
  4. Step 4: Simplify right side
    1,033.47x = 875,163.96
  5. Step 5: Solve for x
    x = 875,163.96/1,033.47
  6. Step 6: Final answer
    x = 846.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.