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Finding the Fourth Proportional to 514.15, 709.31 and 317.77

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Solution

The fourth proportional to 514.15, 709.31 and 317.77 is: 438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.15 : 709.31 = 317.77 : x
  2. Step 2: Convert to fraction form
    514.15/709.31 = 317.77/x
  3. Step 3: Cross multiply
    514.15x = 709.31 × 317.77
  4. Step 4: Simplify right side
    514.15x = 225,396.46
  5. Step 5: Solve for x
    x = 225,396.46/514.15
  6. Step 6: Final answer
    x = 438.39

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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.