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Finding the Fourth Proportional to 549.67, 824.62 and 289.51

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Solution

The fourth proportional to 549.67, 824.62 and 289.51 is: 434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.67 : 824.62 = 289.51 : x
  2. Step 2: Convert to fraction form
    549.67/824.62 = 289.51/x
  3. Step 3: Cross multiply
    549.67x = 824.62 × 289.51
  4. Step 4: Simplify right side
    549.67x = 238,735.74
  5. Step 5: Solve for x
    x = 238,735.74/549.67
  6. Step 6: Final answer
    x = 434.33

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1.5x scale

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.