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Finding the Fourth Proportional to 515.54, 712.56 and 456.11

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Solution

The fourth proportional to 515.54, 712.56 and 456.11 is: 630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.54 : 712.56 = 456.11 : x
  2. Step 2: Convert to fraction form
    515.54/712.56 = 456.11/x
  3. Step 3: Cross multiply
    515.54x = 712.56 × 456.11
  4. Step 4: Simplify right side
    515.54x = 324,999.90
  5. Step 5: Solve for x
    x = 324,999.90/515.54
  6. Step 6: Final answer
    x = 630.41

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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.