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Finding the Fourth Proportional to 715.74, 986.94 and 519.36

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Solution

The fourth proportional to 715.74, 986.94 and 519.36 is: 716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.74 : 986.94 = 519.36 : x
  2. Step 2: Convert to fraction form
    715.74/986.94 = 519.36/x
  3. Step 3: Cross multiply
    715.74x = 986.94 × 519.36
  4. Step 4: Simplify right side
    715.74x = 512,577.16
  5. Step 5: Solve for x
    x = 512,577.16/715.74
  6. Step 6: Final answer
    x = 716.15

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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.