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Finding the Fourth Proportional to 515.10, 710.56 and 328.27

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Solution

The fourth proportional to 515.10, 710.56 and 328.27 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.10 : 710.56 = 328.27 : x
  2. Step 2: Convert to fraction form
    515.10/710.56 = 328.27/x
  3. Step 3: Cross multiply
    515.10x = 710.56 × 328.27
  4. Step 4: Simplify right side
    515.10x = 233,255.53
  5. Step 5: Solve for x
    x = 233,255.53/515.10
  6. Step 6: Final answer
    x = 452.84

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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.