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Finding the Fourth Proportional to 514.29, 708.77 and 420.74

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Solution

The fourth proportional to 514.29, 708.77 and 420.74 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.29 : 708.77 = 420.74 : x
  2. Step 2: Convert to fraction form
    514.29/708.77 = 420.74/x
  3. Step 3: Cross multiply
    514.29x = 708.77 × 420.74
  4. Step 4: Simplify right side
    514.29x = 298,207.89
  5. Step 5: Solve for x
    x = 298,207.89/514.29
  6. Step 6: Final answer
    x = 579.84

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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.