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Finding the Fourth Proportional to 549.76, 824.65 and 307.83

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Solution

The fourth proportional to 549.76, 824.65 and 307.83 is: 461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.76 : 824.65 = 307.83 : x
  2. Step 2: Convert to fraction form
    549.76/824.65 = 307.83/x
  3. Step 3: Cross multiply
    549.76x = 824.65 × 307.83
  4. Step 4: Simplify right side
    549.76x = 253,852.01
  5. Step 5: Solve for x
    x = 253,852.01/549.76
  6. Step 6: Final answer
    x = 461.75

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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.