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Finding the Fourth Proportional to 505.35, 756.57 and 342.74

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Solution

The fourth proportional to 505.35, 756.57 and 342.74 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.35 : 756.57 = 342.74 : x
  2. Step 2: Convert to fraction form
    505.35/756.57 = 342.74/x
  3. Step 3: Cross multiply
    505.35x = 756.57 × 342.74
  4. Step 4: Simplify right side
    505.35x = 259,306.80
  5. Step 5: Solve for x
    x = 259,306.80/505.35
  6. Step 6: Final answer
    x = 513.12

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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.