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Finding the Fourth Proportional to 509.45, 703.00 and 288.42

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Solution

The fourth proportional to 509.45, 703.00 and 288.42 is: 397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.45 : 703.00 = 288.42 : x
  2. Step 2: Convert to fraction form
    509.45/703.00 = 288.42/x
  3. Step 3: Cross multiply
    509.45x = 703.00 × 288.42
  4. Step 4: Simplify right side
    509.45x = 202,757.82
  5. Step 5: Solve for x
    x = 202,757.82/509.45
  6. Step 6: Final answer
    x = 397.99

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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.