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Finding the Fourth Proportional to 515.64, 709.80 and 445.27

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Solution

The fourth proportional to 515.64, 709.80 and 445.27 is: 612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 709.80 = 445.27 : x
  2. Step 2: Convert to fraction form
    515.64/709.80 = 445.27/x
  3. Step 3: Cross multiply
    515.64x = 709.80 × 445.27
  4. Step 4: Simplify right side
    515.64x = 316,053.04
  5. Step 5: Solve for x
    x = 316,053.04/515.64
  6. Step 6: Final answer
    x = 612.94

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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.