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Finding the Fourth Proportional to 944.69, 1,415.35 and 842.88

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Solution

The fourth proportional to 944.69, 1,415.35 and 842.88 is: 1,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.69 : 1,415.35 = 842.88 : x
  2. Step 2: Convert to fraction form
    944.69/1,415.35 = 842.88/x
  3. Step 3: Cross multiply
    944.69x = 1,415.35 × 842.88
  4. Step 4: Simplify right side
    944.69x = 1,192,970.21
  5. Step 5: Solve for x
    x = 1,192,970.21/944.69
  6. Step 6: Final answer
    x = 1,262.82

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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.