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Finding the Fourth Proportional to 515.86, 710.33 and 445.79

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Solution

The fourth proportional to 515.86, 710.33 and 445.79 is: 613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.86 : 710.33 = 445.79 : x
  2. Step 2: Convert to fraction form
    515.86/710.33 = 445.79/x
  3. Step 3: Cross multiply
    515.86x = 710.33 × 445.79
  4. Step 4: Simplify right side
    515.86x = 316,658.01
  5. Step 5: Solve for x
    x = 316,658.01/515.86
  6. Step 6: Final answer
    x = 613.84

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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.