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Finding the Fourth Proportional to 514.04, 769.85 and 405.10

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Solution

The fourth proportional to 514.04, 769.85 and 405.10 is: 606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.04 : 769.85 = 405.10 : x
  2. Step 2: Convert to fraction form
    514.04/769.85 = 405.10/x
  3. Step 3: Cross multiply
    514.04x = 769.85 × 405.10
  4. Step 4: Simplify right side
    514.04x = 311,860.36
  5. Step 5: Solve for x
    x = 311,860.36/514.04
  6. Step 6: Final answer
    x = 606.69

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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.