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Finding the Fourth Proportional to 513.73, 709.85 and 404.08

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Solution

The fourth proportional to 513.73, 709.85 and 404.08 is: 558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.73 : 709.85 = 404.08 : x
  2. Step 2: Convert to fraction form
    513.73/709.85 = 404.08/x
  3. Step 3: Cross multiply
    513.73x = 709.85 × 404.08
  4. Step 4: Simplify right side
    513.73x = 286,836.19
  5. Step 5: Solve for x
    x = 286,836.19/513.73
  6. Step 6: Final answer
    x = 558.34

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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.