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Finding the Fourth Proportional to 549.36, 824.69 and 433.89

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Solution

The fourth proportional to 549.36, 824.69 and 433.89 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 824.69 = 433.89 : x
  2. Step 2: Convert to fraction form
    549.36/824.69 = 433.89/x
  3. Step 3: Cross multiply
    549.36x = 824.69 × 433.89
  4. Step 4: Simplify right side
    549.36x = 357,822.57
  5. Step 5: Solve for x
    x = 357,822.57/549.36
  6. Step 6: Final answer
    x = 651.34

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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.