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Finding the Fourth Proportional to 513.80, 709.44 and 415.40

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Solution

The fourth proportional to 513.80, 709.44 and 415.40 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.80 : 709.44 = 415.40 : x
  2. Step 2: Convert to fraction form
    513.80/709.44 = 415.40/x
  3. Step 3: Cross multiply
    513.80x = 709.44 × 415.40
  4. Step 4: Simplify right side
    513.80x = 294,701.38
  5. Step 5: Solve for x
    x = 294,701.38/513.80
  6. Step 6: Final answer
    x = 573.57

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Similar ratio
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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.