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Finding the Fourth Proportional to 513.57, 707.79 and 405.43

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Solution

The fourth proportional to 513.57, 707.79 and 405.43 is: 558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 707.79 = 405.43 : x
  2. Step 2: Convert to fraction form
    513.57/707.79 = 405.43/x
  3. Step 3: Cross multiply
    513.57x = 707.79 × 405.43
  4. Step 4: Simplify right side
    513.57x = 286,959.30
  5. Step 5: Solve for x
    x = 286,959.30/513.57
  6. Step 6: Final answer
    x = 558.76

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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.