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Finding the Fourth Proportional to 549.53, 830.25 and 544.67

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Solution

The fourth proportional to 549.53, 830.25 and 544.67 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.53 : 830.25 = 544.67 : x
  2. Step 2: Convert to fraction form
    549.53/830.25 = 544.67/x
  3. Step 3: Cross multiply
    549.53x = 830.25 × 544.67
  4. Step 4: Simplify right side
    549.53x = 452,212.27
  5. Step 5: Solve for x
    x = 452,212.27/549.53
  6. Step 6: Final answer
    x = 822.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.