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Finding the Fourth Proportional to 509.34, 703.68 and 405.20

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Solution

The fourth proportional to 509.34, 703.68 and 405.20 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.34 : 703.68 = 405.20 : x
  2. Step 2: Convert to fraction form
    509.34/703.68 = 405.20/x
  3. Step 3: Cross multiply
    509.34x = 703.68 × 405.20
  4. Step 4: Simplify right side
    509.34x = 285,131.14
  5. Step 5: Solve for x
    x = 285,131.14/509.34
  6. Step 6: Final answer
    x = 559.81

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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.