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Finding the Fourth Proportional to 509.78, 703.82 and 335.42

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Solution

The fourth proportional to 509.78, 703.82 and 335.42 is: 463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 703.82 = 335.42 : x
  2. Step 2: Convert to fraction form
    509.78/703.82 = 335.42/x
  3. Step 3: Cross multiply
    509.78x = 703.82 × 335.42
  4. Step 4: Simplify right side
    509.78x = 236,075.30
  5. Step 5: Solve for x
    x = 236,075.30/509.78
  6. Step 6: Final answer
    x = 463.09

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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.