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Finding the Fourth Proportional to 509.66, 703.76 and 344.42

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Solution

The fourth proportional to 509.66, 703.76 and 344.42 is: 475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.66 : 703.76 = 344.42 : x
  2. Step 2: Convert to fraction form
    509.66/703.76 = 344.42/x
  3. Step 3: Cross multiply
    509.66x = 703.76 × 344.42
  4. Step 4: Simplify right side
    509.66x = 242,389.02
  5. Step 5: Solve for x
    x = 242,389.02/509.66
  6. Step 6: Final answer
    x = 475.59

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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.