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Finding the Fourth Proportional to 515.14, 713.87 and 505.42

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Solution

The fourth proportional to 515.14, 713.87 and 505.42 is: 700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.14 : 713.87 = 505.42 : x
  2. Step 2: Convert to fraction form
    515.14/713.87 = 505.42/x
  3. Step 3: Cross multiply
    515.14x = 713.87 × 505.42
  4. Step 4: Simplify right side
    515.14x = 360,804.18
  5. Step 5: Solve for x
    x = 360,804.18/515.14
  6. Step 6: Final answer
    x = 700.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.