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Finding the Fourth Proportional to 1,271.32, 1,905.62 and 832.04

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Solution

The fourth proportional to 1,271.32, 1,905.62 and 832.04 is: 1,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.32 : 1,905.62 = 832.04 : x
  2. Step 2: Convert to fraction form
    1,271.32/1,905.62 = 832.04/x
  3. Step 3: Cross multiply
    1,271.32x = 1,905.62 × 832.04
  4. Step 4: Simplify right side
    1,271.32x = 1,585,552.06
  5. Step 5: Solve for x
    x = 1,585,552.06/1,271.32
  6. Step 6: Final answer
    x = 1,247.17

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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.