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Finding the Fourth Proportional to 509.99, 703.80 and 288.97

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Solution

The fourth proportional to 509.99, 703.80 and 288.97 is: 398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.99 : 703.80 = 288.97 : x
  2. Step 2: Convert to fraction form
    509.99/703.80 = 288.97/x
  3. Step 3: Cross multiply
    509.99x = 703.80 × 288.97
  4. Step 4: Simplify right side
    509.99x = 203,373.57
  5. Step 5: Solve for x
    x = 203,373.57/509.99
  6. Step 6: Final answer
    x = 398.78

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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.