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Finding the Fourth Proportional to 509.60, 703.02 and 343.76

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Solution

The fourth proportional to 509.60, 703.02 and 343.76 is: 474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.60 : 703.02 = 343.76 : x
  2. Step 2: Convert to fraction form
    509.60/703.02 = 343.76/x
  3. Step 3: Cross multiply
    509.60x = 703.02 × 343.76
  4. Step 4: Simplify right side
    509.60x = 241,670.16
  5. Step 5: Solve for x
    x = 241,670.16/509.60
  6. Step 6: Final answer
    x = 474.23

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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.