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Finding the Fourth Proportional to 513.77, 709.11 and 317.39

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Solution

The fourth proportional to 513.77, 709.11 and 317.39 is: 438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.77 : 709.11 = 317.39 : x
  2. Step 2: Convert to fraction form
    513.77/709.11 = 317.39/x
  3. Step 3: Cross multiply
    513.77x = 709.11 × 317.39
  4. Step 4: Simplify right side
    513.77x = 225,060.88
  5. Step 5: Solve for x
    x = 225,060.88/513.77
  6. Step 6: Final answer
    x = 438.06

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1.5x scale

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.