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Finding the Fourth Proportional to 785.63, 1,183.02 and 581.65

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Solution

The fourth proportional to 785.63, 1,183.02 and 581.65 is: 875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.63 : 1,183.02 = 581.65 : x
  2. Step 2: Convert to fraction form
    785.63/1,183.02 = 581.65/x
  3. Step 3: Cross multiply
    785.63x = 1,183.02 × 581.65
  4. Step 4: Simplify right side
    785.63x = 688,098.44
  5. Step 5: Solve for x
    x = 688,098.44/785.63
  6. Step 6: Final answer
    x = 875.85

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.