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Finding the Fourth Proportional to 516.83, 713.31 and 407.14

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Solution

The fourth proportional to 516.83, 713.31 and 407.14 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 713.31 = 407.14 : x
  2. Step 2: Convert to fraction form
    516.83/713.31 = 407.14/x
  3. Step 3: Cross multiply
    516.83x = 713.31 × 407.14
  4. Step 4: Simplify right side
    516.83x = 290,415.25
  5. Step 5: Solve for x
    x = 290,415.25/516.83
  6. Step 6: Final answer
    x = 561.91

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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.