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Finding the Fourth Proportional to 513.50, 709.34 and 415.69

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Solution

The fourth proportional to 513.50, 709.34 and 415.69 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 709.34 = 415.69 : x
  2. Step 2: Convert to fraction form
    513.50/709.34 = 415.69/x
  3. Step 3: Cross multiply
    513.50x = 709.34 × 415.69
  4. Step 4: Simplify right side
    513.50x = 294,861.69
  5. Step 5: Solve for x
    x = 294,861.69/513.50
  6. Step 6: Final answer
    x = 574.23

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1.5x scale

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.