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Finding the Fourth Proportional to 513.95, 709.52 and 317.57

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Solution

The fourth proportional to 513.95, 709.52 and 317.57 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.95 : 709.52 = 317.57 : x
  2. Step 2: Convert to fraction form
    513.95/709.52 = 317.57/x
  3. Step 3: Cross multiply
    513.95x = 709.52 × 317.57
  4. Step 4: Simplify right side
    513.95x = 225,320.68
  5. Step 5: Solve for x
    x = 225,320.68/513.95
  6. Step 6: Final answer
    x = 438.41

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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.