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Finding the Fourth Proportional to 513.56, 708.14 and 420.02

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Solution

The fourth proportional to 513.56, 708.14 and 420.02 is: 579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.56 : 708.14 = 420.02 : x
  2. Step 2: Convert to fraction form
    513.56/708.14 = 420.02/x
  3. Step 3: Cross multiply
    513.56x = 708.14 × 420.02
  4. Step 4: Simplify right side
    513.56x = 297,435.78
  5. Step 5: Solve for x
    x = 297,435.78/513.56
  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.