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Finding the Fourth Proportional to 515.09, 710.92 and 328.64

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Solution

The fourth proportional to 515.09, 710.92 and 328.64 is: 453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.09 : 710.92 = 328.64 : x
  2. Step 2: Convert to fraction form
    515.09/710.92 = 328.64/x
  3. Step 3: Cross multiply
    515.09x = 710.92 × 328.64
  4. Step 4: Simplify right side
    515.09x = 233,634.15
  5. Step 5: Solve for x
    x = 233,634.15/515.09
  6. Step 6: Final answer
    x = 453.58

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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.