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Finding the Fourth Proportional to 514.70, 709.99 and 318.07

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Solution

The fourth proportional to 514.70, 709.99 and 318.07 is: 438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.70 : 709.99 = 318.07 : x
  2. Step 2: Convert to fraction form
    514.70/709.99 = 318.07/x
  3. Step 3: Cross multiply
    514.70x = 709.99 × 318.07
  4. Step 4: Simplify right side
    514.70x = 225,826.52
  5. Step 5: Solve for x
    x = 225,826.52/514.70
  6. Step 6: Final answer
    x = 438.75

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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.