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Finding the Fourth Proportional to 518.19, 714.38 and 370.56

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Solution

The fourth proportional to 518.19, 714.38 and 370.56 is: 510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.19 : 714.38 = 370.56 : x
  2. Step 2: Convert to fraction form
    518.19/714.38 = 370.56/x
  3. Step 3: Cross multiply
    518.19x = 714.38 × 370.56
  4. Step 4: Simplify right side
    518.19x = 264,720.65
  5. Step 5: Solve for x
    x = 264,720.65/518.19
  6. Step 6: Final answer
    x = 510.86

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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.