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Finding the Fourth Proportional to 518.30, 714.86 and 462.34

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Solution

The fourth proportional to 518.30, 714.86 and 462.34 is: 637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.30 : 714.86 = 462.34 : x
  2. Step 2: Convert to fraction form
    518.30/714.86 = 462.34/x
  3. Step 3: Cross multiply
    518.30x = 714.86 × 462.34
  4. Step 4: Simplify right side
    518.30x = 330,508.69
  5. Step 5: Solve for x
    x = 330,508.69/518.30
  6. Step 6: Final answer
    x = 637.68

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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.