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Finding the Fourth Proportional to 514.88, 778.16 and 505.92

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Solution

The fourth proportional to 514.88, 778.16 and 505.92 is: 764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.88 : 778.16 = 505.92 : x
  2. Step 2: Convert to fraction form
    514.88/778.16 = 505.92/x
  3. Step 3: Cross multiply
    514.88x = 778.16 × 505.92
  4. Step 4: Simplify right side
    514.88x = 393,686.71
  5. Step 5: Solve for x
    x = 393,686.71/514.88
  6. Step 6: Final answer
    x = 764.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.