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Finding the Fourth Proportional to 518.00, 714.77 and 296.92

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Solution

The fourth proportional to 518.00, 714.77 and 296.92 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.00 : 714.77 = 296.92 : x
  2. Step 2: Convert to fraction form
    518.00/714.77 = 296.92/x
  3. Step 3: Cross multiply
    518.00x = 714.77 × 296.92
  4. Step 4: Simplify right side
    518.00x = 212,228.46
  5. Step 5: Solve for x
    x = 212,228.46/518.00
  6. Step 6: Final answer
    x = 409.71

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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.