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Finding the Fourth Proportional to 509.72, 703.42 and 288.65

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Solution

The fourth proportional to 509.72, 703.42 and 288.65 is: 398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.72 : 703.42 = 288.65 : x
  2. Step 2: Convert to fraction form
    509.72/703.42 = 288.65/x
  3. Step 3: Cross multiply
    509.72x = 703.42 × 288.65
  4. Step 4: Simplify right side
    509.72x = 203,042.18
  5. Step 5: Solve for x
    x = 203,042.18/509.72
  6. Step 6: Final answer
    x = 398.34

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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.