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Finding the Fourth Proportional to 509.80, 703.86 and 344.24

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Solution

The fourth proportional to 509.80, 703.86 and 344.24 is: 475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 703.86 = 344.24 : x
  2. Step 2: Convert to fraction form
    509.80/703.86 = 344.24/x
  3. Step 3: Cross multiply
    509.80x = 703.86 × 344.24
  4. Step 4: Simplify right side
    509.80x = 242,296.77
  5. Step 5: Solve for x
    x = 242,296.77/509.80
  6. Step 6: Final answer
    x = 475.28

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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.