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Finding the Fourth Proportional to 518.15, 714.36 and 429.30

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Solution

The fourth proportional to 518.15, 714.36 and 429.30 is: 591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.15 : 714.36 = 429.30 : x
  2. Step 2: Convert to fraction form
    518.15/714.36 = 429.30/x
  3. Step 3: Cross multiply
    518.15x = 714.36 × 429.30
  4. Step 4: Simplify right side
    518.15x = 306,674.75
  5. Step 5: Solve for x
    x = 306,674.75/518.15
  6. Step 6: Final answer
    x = 591.86

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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.