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Finding the Fourth Proportional to 785.04, 1,081.66 and 644.68

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Solution

The fourth proportional to 785.04, 1,081.66 and 644.68 is: 888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.04 : 1,081.66 = 644.68 : x
  2. Step 2: Convert to fraction form
    785.04/1,081.66 = 644.68/x
  3. Step 3: Cross multiply
    785.04x = 1,081.66 × 644.68
  4. Step 4: Simplify right side
    785.04x = 697,324.57
  5. Step 5: Solve for x
    x = 697,324.57/785.04
  6. Step 6: Final answer
    x = 888.27

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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.