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Finding the Fourth Proportional to 985.43, 1,475.79 and 779.33

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Solution

The fourth proportional to 985.43, 1,475.79 and 779.33 is: 1,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.43 : 1,475.79 = 779.33 : x
  2. Step 2: Convert to fraction form
    985.43/1,475.79 = 779.33/x
  3. Step 3: Cross multiply
    985.43x = 1,475.79 × 779.33
  4. Step 4: Simplify right side
    985.43x = 1,150,128.19
  5. Step 5: Solve for x
    x = 1,150,128.19/985.43
  6. Step 6: Final answer
    x = 1,167.13

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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.