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Finding the Fourth Proportional to 505.74, 698.20 and 372.86

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Solution

The fourth proportional to 505.74, 698.20 and 372.86 is: 514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 698.20 = 372.86 : x
  2. Step 2: Convert to fraction form
    505.74/698.20 = 372.86/x
  3. Step 3: Cross multiply
    505.74x = 698.20 × 372.86
  4. Step 4: Simplify right side
    505.74x = 260,330.85
  5. Step 5: Solve for x
    x = 260,330.85/505.74
  6. Step 6: Final answer
    x = 514.75

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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.