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Finding the Fourth Proportional to 513.63, 708.38 and 317.19

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Solution

The fourth proportional to 513.63, 708.38 and 317.19 is: 437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.63 : 708.38 = 317.19 : x
  2. Step 2: Convert to fraction form
    513.63/708.38 = 317.19/x
  3. Step 3: Cross multiply
    513.63x = 708.38 × 317.19
  4. Step 4: Simplify right side
    513.63x = 224,687.51
  5. Step 5: Solve for x
    x = 224,687.51/513.63
  6. Step 6: Final answer
    x = 437.45

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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.