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Finding the Fourth Proportional to 513.19, 707.91 and 314.06

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Solution

The fourth proportional to 513.19, 707.91 and 314.06 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.19 : 707.91 = 314.06 : x
  2. Step 2: Convert to fraction form
    513.19/707.91 = 314.06/x
  3. Step 3: Cross multiply
    513.19x = 707.91 × 314.06
  4. Step 4: Simplify right side
    513.19x = 222,327.98
  5. Step 5: Solve for x
    x = 222,327.98/513.19
  6. Step 6: Final answer
    x = 433.23

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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.