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Finding the Fourth Proportional to 785.79, 1,083.33 and 549.42

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Solution

The fourth proportional to 785.79, 1,083.33 and 549.42 is: 757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.79 : 1,083.33 = 549.42 : x
  2. Step 2: Convert to fraction form
    785.79/1,083.33 = 549.42/x
  3. Step 3: Cross multiply
    785.79x = 1,083.33 × 549.42
  4. Step 4: Simplify right side
    785.79x = 595,203.17
  5. Step 5: Solve for x
    x = 595,203.17/785.79
  6. Step 6: Final answer
    x = 757.46

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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.