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Finding the Fourth Proportional to 518.36, 710.70 and 509.14

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Solution

The fourth proportional to 518.36, 710.70 and 509.14 is: 698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.36 : 710.70 = 509.14 : x
  2. Step 2: Convert to fraction form
    518.36/710.70 = 509.14/x
  3. Step 3: Cross multiply
    518.36x = 710.70 × 509.14
  4. Step 4: Simplify right side
    518.36x = 361,839.70
  5. Step 5: Solve for x
    x = 361,839.70/518.36
  6. Step 6: Final answer
    x = 698.05

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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.