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Finding the Fourth Proportional to 1,048.32, 1,446.98 and 839.94

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Solution

The fourth proportional to 1,048.32, 1,446.98 and 839.94 is: 1,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.32 : 1,446.98 = 839.94 : x
  2. Step 2: Convert to fraction form
    1,048.32/1,446.98 = 839.94/x
  3. Step 3: Cross multiply
    1,048.32x = 1,446.98 × 839.94
  4. Step 4: Simplify right side
    1,048.32x = 1,215,376.38
  5. Step 5: Solve for x
    x = 1,215,376.38/1,048.32
  6. Step 6: Final answer
    x = 1,159.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.