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Finding the Fourth Proportional to 509.57, 703.15 and 285.50

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Solution

The fourth proportional to 509.57, 703.15 and 285.50 is: 393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.57 : 703.15 = 285.50 : x
  2. Step 2: Convert to fraction form
    509.57/703.15 = 285.50/x
  3. Step 3: Cross multiply
    509.57x = 703.15 × 285.50
  4. Step 4: Simplify right side
    509.57x = 200,749.33
  5. Step 5: Solve for x
    x = 200,749.33/509.57
  6. Step 6: Final answer
    x = 393.96

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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.