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Finding the Fourth Proportional to 507.12, 763.65 and 363.84

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Solution

The fourth proportional to 507.12, 763.65 and 363.84 is: 547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 763.65 = 363.84 : x
  2. Step 2: Convert to fraction form
    507.12/763.65 = 363.84/x
  3. Step 3: Cross multiply
    507.12x = 763.65 × 363.84
  4. Step 4: Simplify right side
    507.12x = 277,846.42
  5. Step 5: Solve for x
    x = 277,846.42/507.12
  6. Step 6: Final answer
    x = 547.89

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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.