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Finding the Fourth Proportional to 507.43, 699.12 and 380.86

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Solution

The fourth proportional to 507.43, 699.12 and 380.86 is: 524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.43 : 699.12 = 380.86 : x
  2. Step 2: Convert to fraction form
    507.43/699.12 = 380.86/x
  3. Step 3: Cross multiply
    507.43x = 699.12 × 380.86
  4. Step 4: Simplify right side
    507.43x = 266,263.35
  5. Step 5: Solve for x
    x = 266,263.35/507.43
  6. Step 6: Final answer
    x = 524.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.