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Finding the Fourth Proportional to 518.16, 714.96 and 419.74

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Solution

The fourth proportional to 518.16, 714.96 and 419.74 is: 579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 714.96 = 419.74 : x
  2. Step 2: Convert to fraction form
    518.16/714.96 = 419.74/x
  3. Step 3: Cross multiply
    518.16x = 714.96 × 419.74
  4. Step 4: Simplify right side
    518.16x = 300,097.31
  5. Step 5: Solve for x
    x = 300,097.31/518.16
  6. Step 6: Final answer
    x = 579.16

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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.