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Finding the Fourth Proportional to 518.19, 714.96 and 297.01

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Solution

The fourth proportional to 518.19, 714.96 and 297.01 is: 409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.19 : 714.96 = 297.01 : x
  2. Step 2: Convert to fraction form
    518.19/714.96 = 297.01/x
  3. Step 3: Cross multiply
    518.19x = 714.96 × 297.01
  4. Step 4: Simplify right side
    518.19x = 212,350.27
  5. Step 5: Solve for x
    x = 212,350.27/518.19
  6. Step 6: Final answer
    x = 409.79

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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.