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Finding the Fourth Proportional to 514.79, 770.39 and 421.16

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Solution

The fourth proportional to 514.79, 770.39 and 421.16 is: 630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.79 : 770.39 = 421.16 : x
  2. Step 2: Convert to fraction form
    514.79/770.39 = 421.16/x
  3. Step 3: Cross multiply
    514.79x = 770.39 × 421.16
  4. Step 4: Simplify right side
    514.79x = 324,454.06
  5. Step 5: Solve for x
    x = 324,454.06/514.79
  6. Step 6: Final answer
    x = 630.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.