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Finding the Fourth Proportional to 1,004.46, 1,385.82 and 709.62

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Solution

The fourth proportional to 1,004.46, 1,385.82 and 709.62 is: 979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.46 : 1,385.82 = 709.62 : x
  2. Step 2: Convert to fraction form
    1,004.46/1,385.82 = 709.62/x
  3. Step 3: Cross multiply
    1,004.46x = 1,385.82 × 709.62
  4. Step 4: Simplify right side
    1,004.46x = 983,405.59
  5. Step 5: Solve for x
    x = 983,405.59/1,004.46
  6. Step 6: Final answer
    x = 979.04

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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.