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Finding the Fourth Proportional to 516.21, 707.56 and 509.01

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Solution

The fourth proportional to 516.21, 707.56 and 509.01 is: 697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.21 : 707.56 = 509.01 : x
  2. Step 2: Convert to fraction form
    516.21/707.56 = 509.01/x
  3. Step 3: Cross multiply
    516.21x = 707.56 × 509.01
  4. Step 4: Simplify right side
    516.21x = 360,155.12
  5. Step 5: Solve for x
    x = 360,155.12/516.21
  6. Step 6: Final answer
    x = 697.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.