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Finding the Fourth Proportional to 509.75, 703.46 and 300.05

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Solution

The fourth proportional to 509.75, 703.46 and 300.05 is: 414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 703.46 = 300.05 : x
  2. Step 2: Convert to fraction form
    509.75/703.46 = 300.05/x
  3. Step 3: Cross multiply
    509.75x = 703.46 × 300.05
  4. Step 4: Simplify right side
    509.75x = 211,073.17
  5. Step 5: Solve for x
    x = 211,073.17/509.75
  6. Step 6: Final answer
    x = 414.07

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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.