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Finding the Fourth Proportional to 785.69, 1,083.64 and 549.56

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Solution

The fourth proportional to 785.69, 1,083.64 and 549.56 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.69 : 1,083.64 = 549.56 : x
  2. Step 2: Convert to fraction form
    785.69/1,083.64 = 549.56/x
  3. Step 3: Cross multiply
    785.69x = 1,083.64 × 549.56
  4. Step 4: Simplify right side
    785.69x = 595,525.20
  5. Step 5: Solve for x
    x = 595,525.20/785.69
  6. Step 6: Final answer
    x = 757.96

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1.5x scale

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.