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Finding the Fourth Proportional to 514.17, 709.63 and 317.75

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Solution

The fourth proportional to 514.17, 709.63 and 317.75 is: 438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.17 : 709.63 = 317.75 : x
  2. Step 2: Convert to fraction form
    514.17/709.63 = 317.75/x
  3. Step 3: Cross multiply
    514.17x = 709.63 × 317.75
  4. Step 4: Simplify right side
    514.17x = 225,480.59
  5. Step 5: Solve for x
    x = 225,480.59/514.17
  6. Step 6: Final answer
    x = 438.53

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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.