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Finding the Fourth Proportional to 513.65, 708.86 and 289.60

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Solution

The fourth proportional to 513.65, 708.86 and 289.60 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.65 : 708.86 = 289.60 : x
  2. Step 2: Convert to fraction form
    513.65/708.86 = 289.60/x
  3. Step 3: Cross multiply
    513.65x = 708.86 × 289.60
  4. Step 4: Simplify right side
    513.65x = 205,285.86
  5. Step 5: Solve for x
    x = 205,285.86/513.65
  6. Step 6: Final answer
    x = 399.66

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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.