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Finding the Fourth Proportional to 985.41, 1,475.69 and 832.32

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Solution

The fourth proportional to 985.41, 1,475.69 and 832.32 is: 1,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.41 : 1,475.69 = 832.32 : x
  2. Step 2: Convert to fraction form
    985.41/1,475.69 = 832.32/x
  3. Step 3: Cross multiply
    985.41x = 1,475.69 × 832.32
  4. Step 4: Simplify right side
    985.41x = 1,228,242.14
  5. Step 5: Solve for x
    x = 1,228,242.14/985.41
  6. Step 6: Final answer
    x = 1,246.43

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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.