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Finding the Fourth Proportional to 944.77, 1,415.92 and 482.16

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Solution

The fourth proportional to 944.77, 1,415.92 and 482.16 is: 722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.77 : 1,415.92 = 482.16 : x
  2. Step 2: Convert to fraction form
    944.77/1,415.92 = 482.16/x
  3. Step 3: Cross multiply
    944.77x = 1,415.92 × 482.16
  4. Step 4: Simplify right side
    944.77x = 682,691.70
  5. Step 5: Solve for x
    x = 682,691.70/944.77
  6. Step 6: Final answer
    x = 722.60

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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.