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Finding the Fourth Proportional to 549.70, 820.69 and 504.10

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Solution

The fourth proportional to 549.70, 820.69 and 504.10 is: 752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.70 : 820.69 = 504.10 : x
  2. Step 2: Convert to fraction form
    549.70/820.69 = 504.10/x
  3. Step 3: Cross multiply
    549.70x = 820.69 × 504.10
  4. Step 4: Simplify right side
    549.70x = 413,709.83
  5. Step 5: Solve for x
    x = 413,709.83/549.70
  6. Step 6: Final answer
    x = 752.61

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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.