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Finding the Fourth Proportional to 518.25, 714.93 and 461.45

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Solution

The fourth proportional to 518.25, 714.93 and 461.45 is: 636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 714.93 = 461.45 : x
  2. Step 2: Convert to fraction form
    518.25/714.93 = 461.45/x
  3. Step 3: Cross multiply
    518.25x = 714.93 × 461.45
  4. Step 4: Simplify right side
    518.25x = 329,900.48
  5. Step 5: Solve for x
    x = 329,900.48/518.25
  6. Step 6: Final answer
    x = 636.57

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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.