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Finding the Fourth Proportional to 549.10, 822.57 and 404.92

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Solution

The fourth proportional to 549.10, 822.57 and 404.92 is: 606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.10 : 822.57 = 404.92 : x
  2. Step 2: Convert to fraction form
    549.10/822.57 = 404.92/x
  3. Step 3: Cross multiply
    549.10x = 822.57 × 404.92
  4. Step 4: Simplify right side
    549.10x = 333,075.04
  5. Step 5: Solve for x
    x = 333,075.04/549.10
  6. Step 6: Final answer
    x = 606.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.