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Finding the Fourth Proportional to 518.96, 715.56 and 420.42

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Solution

The fourth proportional to 518.96, 715.56 and 420.42 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 715.56 = 420.42 : x
  2. Step 2: Convert to fraction form
    518.96/715.56 = 420.42/x
  3. Step 3: Cross multiply
    518.96x = 715.56 × 420.42
  4. Step 4: Simplify right side
    518.96x = 300,835.74
  5. Step 5: Solve for x
    x = 300,835.74/518.96
  6. Step 6: Final answer
    x = 579.69

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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.