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Finding the Fourth Proportional to 519.57, 715.37 and 421.65

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Solution

The fourth proportional to 519.57, 715.37 and 421.65 is: 580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 715.37 = 421.65 : x
  2. Step 2: Convert to fraction form
    519.57/715.37 = 421.65/x
  3. Step 3: Cross multiply
    519.57x = 715.37 × 421.65
  4. Step 4: Simplify right side
    519.57x = 301,633.65
  5. Step 5: Solve for x
    x = 301,633.65/519.57
  6. Step 6: Final answer
    x = 580.54

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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.