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Finding the Fourth Proportional to 549.84, 820.83 and 513.93

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Solution

The fourth proportional to 549.84, 820.83 and 513.93 is: 767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 820.83 = 513.93 : x
  2. Step 2: Convert to fraction form
    549.84/820.83 = 513.93/x
  3. Step 3: Cross multiply
    549.84x = 820.83 × 513.93
  4. Step 4: Simplify right side
    549.84x = 421,849.16
  5. Step 5: Solve for x
    x = 421,849.16/549.84
  6. Step 6: Final answer
    x = 767.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.