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Finding the Fourth Proportional to 945.91, 1,415.68 and 779.46

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Solution

The fourth proportional to 945.91, 1,415.68 and 779.46 is: 1,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.91 : 1,415.68 = 779.46 : x
  2. Step 2: Convert to fraction form
    945.91/1,415.68 = 779.46/x
  3. Step 3: Cross multiply
    945.91x = 1,415.68 × 779.46
  4. Step 4: Simplify right side
    945.91x = 1,103,458.68
  5. Step 5: Solve for x
    x = 1,103,458.68/945.91
  6. Step 6: Final answer
    x = 1,166.56

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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.