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Finding the Fourth Proportional to 514.94, 710.89 and 318.56

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Solution

The fourth proportional to 514.94, 710.89 and 318.56 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.94 : 710.89 = 318.56 : x
  2. Step 2: Convert to fraction form
    514.94/710.89 = 318.56/x
  3. Step 3: Cross multiply
    514.94x = 710.89 × 318.56
  4. Step 4: Simplify right side
    514.94x = 226,462.10
  5. Step 5: Solve for x
    x = 226,462.10/514.94
  6. Step 6: Final answer
    x = 439.78

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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.