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Finding the Fourth Proportional to 549.72, 822.96 and 477.90

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Solution

The fourth proportional to 549.72, 822.96 and 477.90 is: 715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 822.96 = 477.90 : x
  2. Step 2: Convert to fraction form
    549.72/822.96 = 477.90/x
  3. Step 3: Cross multiply
    549.72x = 822.96 × 477.90
  4. Step 4: Simplify right side
    549.72x = 393,292.58
  5. Step 5: Solve for x
    x = 393,292.58/549.72
  6. Step 6: Final answer
    x = 715.44

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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.